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A function `f,` defined for all positive real numbers, satisfies the equation `f(x^2)=x^3` for every `x >0` . Then the value of `f^(prime)(4)` is 12 (b) 3 (c) `3//2` (d) cannot be determined

A

12

B

3

C

`3//2`

D

cannot be determined

Text Solution

Verified by Experts

`2xf'(x^(2))=3x^(2)or 4f'(4)=12 or f'(4)=3.`
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