I am having trouble going backwards and forwards for these derivative tests.
For example, say I was given a graph of f''(x), I'm not sure how to figure out the image/intervals of increasing and decreasing/critical points,etc for f'(x) and for f(x). Sometimes, I'm given the graph of f(x), other times, I'm given a graph of f'(x), and other times I'm given a graph of f'(x) and f''(x).
For example, say I was given a graph of f''(x), I'm not sure how to figure out the image/intervals of increasing and decreasing/critical points,etc for f'(x) and for f(x). Sometimes, I'm given the graph of f(x), other times, I'm given a graph of f'(x), and other times I'm given a graph of f'(x) and f''(x).