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A function f (x) which satisfies, f ' (s...

A function f (x) which satisfies, `f ' (sin ^(2)x) = cos ^(2) x ` for all real x & `f (1)=1` is

A

`f (x) =x - (x ^(3))/(3) + 1/3`

B

` f (x)= x ^(2) - x/2 + 1/2`

C

a polynomial of degree two

D

`f(0) = 1/2`

Text Solution

Verified by Experts

The correct Answer is:
C, D
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