JEE MATHEMATICS MCQ: MAXIMA & MINIMA

1 Easy

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Understanding +4 | -1

A function

f

such that

f^{\prime}(2)=f^{\prime \prime}(2)=0

and

f

has a local maximum of -17 at 2 is

View answer and explanation

Correct option: C

-17-(x-2)^{4}

Option C (

-17-(x-2)^{4}

) is correct because it satisfies the given conditions:

f'(2) = f''(2) = 0

and has a local maximum of -17 at x=2.

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