Question

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)`