# How do you find values of k for which there are no critical points if #h(x)=e^(-x)+kx# where k is any constant?

##### 1 Answer

Mar 10, 2015

First of all, a critical point of a function

in fact, applying the chain rule, the derivative of

The question is: for which values of

easy manipulations bring us to the equivalent request

Since

So, the final answer is: if