JEE MATHEMATICS MCQ: MAXIMA & MINIMA

1 Easy

1 of 1

Analyzing +4 | -1

Let

f(x)=x^{n+1}+a \cdot x^n

, where

a

is a positive real number. Then,

x=0

is a point of

View answer and explanation

Correct option: C

local minimum if

n

is an even integer

Option D (local minimum if

n

is an even integer) is correct because when n is even, the first derivative changes from negative to positive at x=0.

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m(b)

f(x)

b

m(b)

f: R \rightarrow R

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

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x<0

x>0

p

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