If x = f (t) and y = g (t) are differentiable functions of t , then \frac{d^2y}{dx^2} is

Correct Answer is : f′(t)⋅g′′(t)−g′(t)⋅f′′(t)[f′(t)]3

{f'(t)\cdotg''(t) - g'(t)\cdotf''(t)}/[f'(t)]^3

{f'(t)\cdotg''(t) - g'(t)\cdotf''(t)}/[f'(t)]^2

{g'(t)\cdotf''(t) - f'(t)\cdotg''(t)}/[f'(t)]^3

{g'(t)\cdotf''(t)+f'(t)\cdotg''(t)}/[f'(t)]^3

MHT CET 2017 Math Solved Paper

Question : 15 of 50

Marks: +1, -0

If x = f (t) and y = g (t) are differentiable functions of t , then

d2y

dx2

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