Question #17404

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.

**g has at least one local extremum.

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.

**g has at least one local extremum.

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