Answer to Question #17406 in Calculus for hsd

Question

True or false? Please justify or give a counter example if you don't mind

Suppose that f(x) has domain [1; 3] and is continuous, that g(x) has domain R and is dierentiable, and that h(x) has domain (1; 3) and is differentiable.

**If h'(a) = 0 for some a E (1; 3), then h has a local maximum or a local minimum at a.