How do I solve this using derivative of exponents?

Question

Let f(x)= −5e^x + e^−1.

Find f′(x).

Answer 1

One of the keys here is understanding that e^-1 is a constant.

So f'(x) = -5e^x.

Here is a Desmos graph showing how to generalize and show the equation of a tangent line to the graph of f(x).

desmos.com/calculator/fdbsil4mtc