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

Sep 6, 2014

$f ' \left(x\right) = - 3 \cdot {e}^{1 - 3 x}$

Explanation :

f(x)=e^(1−3x)=e*e^(-3x)

This type of problems solve by Chain Rule.

let's assume $y = {e}^{f \left(x\right)}$

then, using Chain Rule,

$y ' = {e}^{f \left(x\right)} \cdot f ' \left(x\right)$

Similarly, following for the given problem,

$f ' \left(x\right) = e \cdot \left(- 3\right) \cdot {e}^{- 3 x}$

$f ' \left(x\right) = - 3 \cdot {e}^{1 - 3 x}$