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If x=f(t) and y=g(t) , then write the va...

If `x=f(t)` and `y=g(t)` , then write the value of `(d^2y)/(dx^2)` .

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

D

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

Text Solution

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The correct Answer is:
A
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