Question

Sketch the graph of f(x) based on f'(x) = 10e^(-2x )- 40

Answer 1

first i forgot which graph is it that if the line is above x axis, then the slope is increasing, and if the line is below x axis, the slope is decreasing

Answer 2

We know that \(f'(x) = 10e^{-2x} - 40\) and \(f'(0) = 0\)

So from the given information above here, we can construct a original function like that:\(\Large\displaystyle f(x) = \int_{0}^{x} 10e^{-2t} - 40 dt + 0\)

Use u-substitution to find the function. Hope this helps.