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Question

Question: If x = a is the point of local maxima for y = f(x), then which of the following is always true ?...

If x = a is the point of local maxima for y = f(x), then which of the following is always true ?

A

f '(1) = 0

B

f '(1) = 0, f '(1) < 0

C

f '(1) = 0, f '(1) > 0

D

None of these

Answer

None of these

Explanation

Solution

At local maximum f(1) = 0, f '(1) < 0