Question

If x=f(t) and y=g(t) then d^2y/dx^2?

Answer 1

\[\LARGE \frac{dy}{dx}=\frac{g'(t)}{f'(t)}\]

Answer 2

\[\LARGE \frac{d^2y}{dx^2}=\frac{f'g''-g'f''}{(f')^2}\]
im getting this..

Answer 3

@terenzreignz @ParthKohli

Answer 4

Seems right

Answer 5

But is wrong.

Answer 6

I'd have to look further. Probably the first step is incorrect.

Answer 7

:O

Answer 8

\[\LARGE \frac{d^2y}{dx^2}=\frac{f'g''-g'f''}{(f')^2}\]

you are taking the derivative w.r.t. x not t. that is why this is wrong.


your first derivative is correct

Answer 9

how will we differentiate wrt x?

Answer 10

okay,thanks I got it! just cube in denominator :D