Problem on differentiation proof


Assignment:

Please indicate if each statement is true or false and if false please explain why

If the graph of a function has three x intercepts, then it must have at least two points at which its tangent line is horizontal.

If f'(x) = 0 for all of x in the domain of f, then f is a constant function.

Provide complete and step by step solution for the question and show calculations and use formulas.

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Mathematics: Problem on differentiation proof
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