It is False that, If f '(c) = 0, then f has a local maximum or minimum at c.
Local maximum and minimum points are very distinctive on the graph of a function and are thus, helpful in grasping the shape of the graph. Either a local minimum or a local maximum can be considered a local extremum.
A counterexample can be used for:
f(x) = x³
f'(x) = 2 × x²
and,
f'(0) = 2×0² = 0
However, the assertion is false because x = 0 is actually an inflection point rather than a maximum or minimum in f(x) = x³.
Know more about f(x) here: brainly.com/question/28058540
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