If f(x) = 5e^(x+3)+e^(−2), what would f′(0) be?

Question

If f(x) = 5e^x+3 + e^-2

What is f′(0) ?

Answer 1

The derivative of the function is given by f'(x)=5e^x+3 which is defined for all values of x.

In particular, it is defined at x=0 in which you have f'(0)=5e⁰⁺³=5e³

Best,

Davide