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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

If x = a is the point of local maxima then f'(1) is not necessarily equal to zero.