Question

The graph of a function is given. Choose the graph that best represents the graph of its derivative
https://gyazo.com/d9b7b35337495692c4f6da3580a345e4

Answer 1

You need to look at the maxima and minima of the function. They look like they're at -5 and 5, so the derivative will have zeros at -5 and 5.

Then look at where the function is increasing and decreasing. When the function is increasing, the derivative is positive. When the function is decreasing, the derivative is negative.