Question

Sketch the graph of f'(x) = 10 (e^-2x ) - 40. Use this to sketch a graph of f(x) given that f(0)=0

Answer 1

You can also rewrite it as:
\[\frac{ 10 }{ e^2x } - 40\]
And you know:

Answer 2

You can also find the local max and mins and use it to graph. To determine where it's concave up or down and so forth.

Answer 3

I BELIEVE I need to find max and min?

Answer 4

@abb0t how do i find max and min using f'(x) = 10e^-2x - 40? what are the critical numbers? dont know how to isolate x=0