# Answer to Question #17406 in Calculus for hsd

Question #17406

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.

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.

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