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Let f(x) = (x^2 - 1)^(n+1) + (x^2 + x + ...

Let `f(x) = (x^2 - 1)^(n+1) + (x^2 + x + 1)`. Then f(x) has local extremum at `x = 1`, when n is (A) `n = 2` (C) `n = 4` (B) `n = 3 ` (D)` n = 5 `

A

a maxima at x=1 if n is odd

B

a maxima at x =1 if n is even

C

a minima x=1 if n is even

D

a minima at x =2 if n is even

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The correct Answer is:
1,3,4
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