How do you find the derivative of rational functions: #(3/x)#, #(7/x^2)#, #(x^3/sqrt(x))#?
You can use the Quotient Rule or rewrite them as powers, as in:
and:
and:
hope it helps
By signing up, you agree to our Terms of Service and Privacy Policy
To find the derivative of rational functions:

( \frac{d}{dx} \left(\frac{3}{x}\right) )
The derivative is ( \frac{3}{x^2} ). 
( \frac{d}{dx} \left(\frac{7}{x^2}\right) )
The derivative is ( \frac{14}{x^3} ). 
( \frac{d}{dx} \left(\frac{x^3}{\sqrt{x}}\right) )
The derivative is ( \frac{3x^2}{2\sqrt{x}}  \frac{x^3}{2x^{3/2}} ).
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a onesided 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 onesided 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 onesided 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 onesided 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.
 98% accuracy study help
 Covers math, physics, chemistry, biology, and more
 Stepbystep, indepth guides
 Readily available 24/7