How do you use a calculator to find the derivative of #f(x)=e^(1-3x)# ?

Answer 1
#f'(x)=-3*e^(1-3x)#

Explanation :

#f(x)=e^(1−3x)=e*e^(-3x)#

This type of problems solve by Chain Rule.

let's assume #y=e^(f(x))#

then, using Chain Rule,

#y'=e^(f(x))*f'(x)#

Similarly, following for the given problem,

#f'(x)=e*(-3)*e^(-3x)#
#f'(x)=-3*e^(1-3x)#
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Answer 2

To find the derivative of ( f(x) = e^{1-3x} ) using a calculator:

  1. Press the "e" button, usually located near the "ln" or natural logarithm button.
  2. Input the exponent "1-3x".
  3. Press the "^" button or the button indicating exponentiation.
  4. Input the exponent "1-3x".
  5. Press the differentiation button, often labeled as "d/dx" or similar.
  6. Input the variable "x" as the independent variable.
  7. Press "Enter" or "=" to compute the derivative.

The result should be the derivative of ( f(x) ), which is ( f'(x) = -3e^{1-3x} ).

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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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