JEE MATHEMATICS MCQ: MAXIMA & MINIMA

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Analyzing +4 | -1

Let

f(x)

be a polynomial of degree 5 such that

x= \pm 1

are its critical points. If

=4

, then which one of the following is not true ?

View answer and explanation

Correct option: D

x=1

is a point of minima and

x=-1

is a point of maxima of

f

Option D (

x=1

is a point of minima and

x=-1

is a point of maxima of

f

) is correct. The function has a local maximum at x=1 and a local minimum at x=-1, which is opposite to the statement.

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