Module calculus problem

Question

Use the graph of f '(x) below to find the x values of the relative maximum on the graph of f(x):

Options:

1. 0.5
2. 2
3. 1
4. 1.5

Answer 1

We get the original function, f(x), by integrating the given waveform---which appears to be a sine wave. The integral is a negative cosine wave. It will have a maximum where the derivative goes from + to -, at x = 1