Hello and thanks in advance for your help.
I'm studying how derivatives are reflected in the shape of a function's graph and am doing pretty well with it, but had one clarifying question.
Am I right in saying that if my given function f(x) = e^2x + e^-x, then...
f'(x) = e^2x - e^-x
f''(x) = e^2x + e^-x ?
I'm mostly looking to confirm that those are right, but I'd like to understand better why the derivative of e^-x = -e^-x while the derivative of e^x = e^x.
Thanks for any explanations/corrections!