f is a differentiable function such that...

f is a differentiable function such that `x=f(t^2),y=f(t^3)` and `f'(1)!=0` if `((d^2y)/(dx^2))_(t=1)`=

A

`3/4 ((f''(1)+f (1))/((f' (1))^(2)))`

B

`3/4 ((f (1). f '(1) -f'(1))/(f (f'(1))^(2)))`

C

`4/3 (f'(1))/((f'(1))^(2))`

D

`4/3((f '(1)f''(1) -f' (1))/((f'(1))^(2)))`

Text Solution

Verified by Experts

The correct Answer is:

A

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