CPM Homework Help : CALC Problem 6-14

If $f(x)$ is an even function and $f'(0)$ exists, what must $f'(0)$ equal? Draw a diagram to support your conclusions.

Hint:

If $f(x)$ is an even function, it has to be symmetrical about the $y$ axis. Knowing this, what must $f'(0)$ equal?

Use the eTool below to visualize the problem.
Click the link at right for the full version of the eTool: Calc 6-14 HW eTool