JEE MATHEMATICS MCQ: MAXIMA & MINIMA

1 Easy

1 of 1

Analyzing +4 | -1

Let

f: R \rightarrow R

be a function defined by

f(x)=(x-3)^{n_1}(x-5)^{n_2}, n_1, n_2 \in N

. Then, which of the following is NOT true?

View answer and explanation

Correct option: C

For

n_1=3, n_2=5

, there exists

\alpha \in(3,5)

where

f

attains local maxima.

The correct answer is C. For

n_1=3, n_2=5

, there exists

\alpha \in(3,5)

where

f

attains local maxima is NOT true because with both powers odd, there will be a local minimum.

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