How do you find the derivative of #4/sqrt x#?

Answer 1

#-2/x^(3/2)=-2/(sqrt(x^3)#

Begin by writing #4/sqrtx=4/x^(1/2)=4x^(-1/2)#
now differentiate using the#color(blue)" power rule"#
#d/dx(ax^n)=nax^(n-1)#
#rArrd/dx(4x^(-1/2))=(-1/2xx4)x^(-1/2-1)=-2x^(-3/2)#
#rArrd/dx(4/sqrtx)=-2x^(-3/2)=-2/(sqrt(x^3)#
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Answer 2

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The derivative of ( x^n ) with respect toTo find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain ruleTo find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( xTo find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule.To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x \To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. FirstTo find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x )To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First,To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) isTo find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewriteTo find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is (To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite theTo find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nxTo find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expressionTo find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression asTo find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{nTo find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as (To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4xTo find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1}To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\fracTo find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} \To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{1To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{\sqrtTo find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{1}{To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{\sqrt{xTo find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{1}{2To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{\sqrt{x}}To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{1}{2}}To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{\sqrt{x}} \To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{1}{2}} \To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{\sqrt{x}} )To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{1}{2}} ).To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{\sqrt{x}} ) asTo find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{1}{2}} ). ThenTo find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{\sqrt{x}} ) as followsTo find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{1}{2}} ). Then,To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{\sqrt{x}} ) as follows:

To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{1}{2}} ). Then, differentiateTo find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{\sqrt{x}} ) as follows:

(To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{1}{2}} ). Then, differentiate usingTo find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{\sqrt{x}} ) as follows:

( \To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{1}{2}} ). Then, differentiate using theTo find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{\sqrt{x}} ) as follows:

( \fracTo find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{1}{2}} ). Then, differentiate using the powerTo find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{\sqrt{x}} ) as follows:

( \frac{To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{1}{2}} ). Then, differentiate using the power ruleTo find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{\sqrt{x}} ) as follows:

( \frac{d}{To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{1}{2}} ). Then, differentiate using the power rule toTo find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{\sqrt{x}} ) as follows:

( \frac{d}{dxTo find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{1}{2}} ). Then, differentiate using the power rule to getTo find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{\sqrt{x}} ) as follows:

( \frac{d}{dx}\To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{1}{2}} ). Then, differentiate using the power rule to get (To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{\sqrt{x}} ) as follows:

( \frac{d}{dx}\leftTo find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{1}{2}} ). Then, differentiate using the power rule to get ( -To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{\sqrt{x}} ) as follows:

( \frac{d}{dx}\left(\To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{1}{2}} ). Then, differentiate using the power rule to get ( -\To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{\sqrt{x}} ) as follows:

( \frac{d}{dx}\left(\fracTo find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{1}{2}} ). Then, differentiate using the power rule to get ( -\fracTo find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{\sqrt{x}} ) as follows:

( \frac{d}{dx}\left(\frac{To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{1}{2}} ). Then, differentiate using the power rule to get ( -\frac{To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{\sqrt{x}} ) as follows:

( \frac{d}{dx}\left(\frac{4To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{1}{2}} ). Then, differentiate using the power rule to get ( -\frac{1To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{\sqrt{x}} ) as follows:

( \frac{d}{dx}\left(\frac{4}{To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{1}{2}} ). Then, differentiate using the power rule to get ( -\frac{1}{To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{\sqrt{x}} ) as follows:

( \frac{d}{dx}\left(\frac{4}{\To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{1}{2}} ). Then, differentiate using the power rule to get ( -\frac{1}{2To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{\sqrt{x}} ) as follows:

( \frac{d}{dx}\left(\frac{4}{\sqrtTo find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{1}{2}} ). Then, differentiate using the power rule to get ( -\frac{1}{2}To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{\sqrt{x}} ) as follows:

( \frac{d}{dx}\left(\frac{4}{\sqrt{xTo find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{1}{2}} ). Then, differentiate using the power rule to get ( -\frac{1}{2} \To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{\sqrt{x}} ) as follows:

( \frac{d}{dx}\left(\frac{4}{\sqrt{x}}To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{1}{2}} ). Then, differentiate using the power rule to get ( -\frac{1}{2} \cdotTo find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{\sqrt{x}} ) as follows:

( \frac{d}{dx}\left(\frac{4}{\sqrt{x}}\To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{1}{2}} ). Then, differentiate using the power rule to get ( -\frac{1}{2} \cdot To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{\sqrt{x}} ) as follows:

( \frac{d}{dx}\left(\frac{4}{\sqrt{x}}\rightTo find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{1}{2}} ). Then, differentiate using the power rule to get ( -\frac{1}{2} \cdot 4To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{\sqrt{x}} ) as follows:

( \frac{d}{dx}\left(\frac{4}{\sqrt{x}}\right) = To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{1}{2}} ). Then, differentiate using the power rule to get ( -\frac{1}{2} \cdot 4xTo find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{\sqrt{x}} ) as follows:

( \frac{d}{dx}\left(\frac{4}{\sqrt{x}}\right) = 4To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{1}{2}} ). Then, differentiate using the power rule to get ( -\frac{1}{2} \cdot 4x^{-\frac{To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{\sqrt{x}} ) as follows:

( \frac{d}{dx}\left(\frac{4}{\sqrt{x}}\right) = 4 \fracTo find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{1}{2}} ). Then, differentiate using the power rule to get ( -\frac{1}{2} \cdot 4x^{-\frac{3To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{\sqrt{x}} ) as follows:

( \frac{d}{dx}\left(\frac{4}{\sqrt{x}}\right) = 4 \frac{To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{1}{2}} ). Then, differentiate using the power rule to get ( -\frac{1}{2} \cdot 4x^{-\frac{3}{To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{\sqrt{x}} ) as follows:

( \frac{d}{dx}\left(\frac{4}{\sqrt{x}}\right) = 4 \frac{dTo find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{1}{2}} ). Then, differentiate using the power rule to get ( -\frac{1}{2} \cdot 4x^{-\frac{3}{2To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{\sqrt{x}} ) as follows:

( \frac{d}{dx}\left(\frac{4}{\sqrt{x}}\right) = 4 \frac{d}{To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{1}{2}} ). Then, differentiate using the power rule to get ( -\frac{1}{2} \cdot 4x^{-\frac{3}{2}}To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{\sqrt{x}} ) as follows:

( \frac{d}{dx}\left(\frac{4}{\sqrt{x}}\right) = 4 \frac{d}{dxTo find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{1}{2}} ). Then, differentiate using the power rule to get ( -\frac{1}{2} \cdot 4x^{-\frac{3}{2}} ). SimplTo find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{\sqrt{x}} ) as follows:

( \frac{d}{dx}\left(\frac{4}{\sqrt{x}}\right) = 4 \frac{d}{dx}To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{1}{2}} ). Then, differentiate using the power rule to get ( -\frac{1}{2} \cdot 4x^{-\frac{3}{2}} ). Simplifying thisTo find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{\sqrt{x}} ) as follows:

( \frac{d}{dx}\left(\frac{4}{\sqrt{x}}\right) = 4 \frac{d}{dx} \To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{1}{2}} ). Then, differentiate using the power rule to get ( -\frac{1}{2} \cdot 4x^{-\frac{3}{2}} ). Simplifying this expression gives theTo find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{\sqrt{x}} ) as follows:

( \frac{d}{dx}\left(\frac{4}{\sqrt{x}}\right) = 4 \frac{d}{dx} \leftTo find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{1}{2}} ). Then, differentiate using the power rule to get ( -\frac{1}{2} \cdot 4x^{-\frac{3}{2}} ). Simplifying this expression gives the derivativeTo find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{\sqrt{x}} ) as follows:

( \frac{d}{dx}\left(\frac{4}{\sqrt{x}}\right) = 4 \frac{d}{dx} \left(To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{1}{2}} ). Then, differentiate using the power rule to get ( -\frac{1}{2} \cdot 4x^{-\frac{3}{2}} ). Simplifying this expression gives the derivative:To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{\sqrt{x}} ) as follows:

( \frac{d}{dx}\left(\frac{4}{\sqrt{x}}\right) = 4 \frac{d}{dx} \left( xTo find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{1}{2}} ). Then, differentiate using the power rule to get ( -\frac{1}{2} \cdot 4x^{-\frac{3}{2}} ). Simplifying this expression gives the derivative: (To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{\sqrt{x}} ) as follows:

( \frac{d}{dx}\left(\frac{4}{\sqrt{x}}\right) = 4 \frac{d}{dx} \left( x^{-\To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{1}{2}} ). Then, differentiate using the power rule to get ( -\frac{1}{2} \cdot 4x^{-\frac{3}{2}} ). Simplifying this expression gives the derivative: ( -\To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{\sqrt{x}} ) as follows:

( \frac{d}{dx}\left(\frac{4}{\sqrt{x}}\right) = 4 \frac{d}{dx} \left( x^{-\frac{To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{1}{2}} ). Then, differentiate using the power rule to get ( -\frac{1}{2} \cdot 4x^{-\frac{3}{2}} ). Simplifying this expression gives the derivative: ( -\frac{To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{\sqrt{x}} ) as follows:

( \frac{d}{dx}\left(\frac{4}{\sqrt{x}}\right) = 4 \frac{d}{dx} \left( x^{-\frac{1To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{1}{2}} ). Then, differentiate using the power rule to get ( -\frac{1}{2} \cdot 4x^{-\frac{3}{2}} ). Simplifying this expression gives the derivative: ( -\frac{2To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{\sqrt{x}} ) as follows:

( \frac{d}{dx}\left(\frac{4}{\sqrt{x}}\right) = 4 \frac{d}{dx} \left( x^{-\frac{1}{To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{1}{2}} ). Then, differentiate using the power rule to get ( -\frac{1}{2} \cdot 4x^{-\frac{3}{2}} ). Simplifying this expression gives the derivative: ( -\frac{2}{\To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{\sqrt{x}} ) as follows:

( \frac{d}{dx}\left(\frac{4}{\sqrt{x}}\right) = 4 \frac{d}{dx} \left( x^{-\frac{1}{2To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{1}{2}} ). Then, differentiate using the power rule to get ( -\frac{1}{2} \cdot 4x^{-\frac{3}{2}} ). Simplifying this expression gives the derivative: ( -\frac{2}{\sqrt{x^To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{\sqrt{x}} ) as follows:

( \frac{d}{dx}\left(\frac{4}{\sqrt{x}}\right) = 4 \frac{d}{dx} \left( x^{-\frac{1}{2}}To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{1}{2}} ). Then, differentiate using the power rule to get ( -\frac{1}{2} \cdot 4x^{-\frac{3}{2}} ). Simplifying this expression gives the derivative: ( -\frac{2}{\sqrt{x^3}} \To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{\sqrt{x}} ) as follows:

( \frac{d}{dx}\left(\frac{4}{\sqrt{x}}\right) = 4 \frac{d}{dx} \left( x^{-\frac{1}{2}} \To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for differentiation and the chain rule. First, rewrite the expression as ( 4x^{-\frac{1}{2}} ). Then, differentiate using the power rule to get ( -\frac{1}{2} \cdot 4x^{-\frac{3}{2}} ). Simplifying this expression gives the derivative: ( -\frac{2}{\sqrt{x^3}} ).To find the derivative of ( \frac{4}{\sqrt{x}} ), you can use the power rule for derivatives. The derivative of ( x^n ) with respect to ( x ) is ( nx^{n-1} ). Applying this rule, differentiate ( \frac{4}{\sqrt{x}} ) as follows:

( \frac{d}{dx}\left(\frac{4}{\sqrt{x}}\right) = 4 \frac{d}{dx} \left( x^{-\frac{1}{2}} \right) )

Using the power rule:

( = 4 \cdot \left( -\frac{1}{2} \right) x^{-\frac{1}{2} - 1} )

Simplify:

( = -2x^{-\frac{3}{2}} )

Rewriting with positive exponent:

( = -\frac{2}{\sqrt{x^3}} )

So, the derivative of ( \frac{4}{\sqrt{x}} ) is ( -\frac{2}{\sqrt{x^3}} ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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