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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)''(t) -g'(t) f''(t))/( (f'(t))^(3))`

B

` (f'(t)''(t) -g'(t) f''(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))`

Text Solution

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A
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