Question

an interior point of the domain of a function f where the derivative of fi zero or undefined is called​

Answer 1

Explanation:

if a function has a first derivative at an interior point where there is a local extremum, then the derivative must equal zero at that point. It does not say that every point where the first derivative equals zero must be a local extremum. Because of Theorem 2, only a few points need to be considered when finding a function's extreme values. Those points consist of interior domain points where f ' (x)= 0, interior domain points where f ' does not exist, and the domain's endpoints, which are not covered by the theorem.

Critical Points

A critical point is an interior point in the domain of a function at which f ' (x) = 0 or f ' does not exist. So the only possible candidates for the x-coordinate of an extreme point are the critical points and the endpoints.

ans is critical point

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Answer 2

Answer:

UNDEFINED

Explanation:

In general, the local maxima or minima of a function occurs only in locations where the derivative of a function is equal to 0 (f (0)) or if the derivative is undefined. Let a number c be in the domain of f. (That means f(c) exists). c is called a critical number of f if f (c) = 0 or if f (c) is undefined.