What is the derivative of $f(x)=e^(-6x)+e$ ?

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Answer 1 · 2018-03-13T21:31:37

$-6e^(-6x)$

We can use the Chain Rule to differentiate this:

Re-write $e^(-6x)$ as $(e^x)^(-6)$

Using the chain rule:

$-6(e^x)^(-7)*e^x+0$

$-6e^(-7x+x)=-6e^(-6x)$

Note the last term $e$ is a constant.

What is the derivative of f(x)=e^(-6x)+ef(x)=e^(-6x)+e ?