Q. 264.0( 1 Vote )

The maximum value of on [–1, 1] is

A.

B.

C.

D.

Answer :

Differentiating f(x) with respect to x, we get

Since 4-x^{2}>0 ∀ x∈[-1,1] and (4+x+x^{2})^{2}>0 ∀ x∈R

Therefore, f’(x)>0 ∀ x∈[-1,1]

Hence, f(x) is increasing in [-1,1] and therefore the maximum value of f(x) occurs at x=1 and

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