Write necessary condition for a point x = c to be an extreme point of the function f(x).

Question:

Write necessary condition for a point x = c to be an extreme point of the function f(x).

Solution:

We know that at the extreme points of a function f(x), the first order derivative of the function is equal to zero, i.e.
'(x) = 0 at x = c
">f '(c) = 0

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