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If x=f(t) and y=g(t) are differentiab...

If `x=f(t)` and ` y=g(t)` are differentiable functions of t then `(d^(2)y)/(dx^(2))` is

A

`(f'(t).g''(t)-g'(t).f''(t))/[f'(t)]^3`

B

`(f'(t).g''(t)-g'(t).f''(t))/[f'(t)]^2`

C

`(g'(t).f''(t)-f'(t).f''(t))/[f'(t)]^3`

D

`(g'(t).f''(t)+f'(t).f''(t))/[f'(t)]^3`

Text Solution

Verified by Experts

The correct Answer is:
A
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