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If x=f(t) and yy=g(t) are differentia...

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

A

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

B

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

C

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

D

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

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The correct Answer is:
A
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