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Given the parametic equations x= f ...

Given the parametic equations ` x= f (t) , y= g(t) ` then ` (d^2 y)/(dx^2)` equals

A

`((d^2 y)/(dt^2) . (dx)/(dt) - (dy)/(dt)- (dy)/(dt) (d^2 x)/(dt^2))/((dx // dt)^2)`

B

`((dx)/(dt)(d^2 y)/(dt^2) - (d^2 x )/(dt^2 ) (dy)/(dt))/((dx //dt)^3)`

C

`(d^2y )/(dt^2) // (d^2 x)/(dx^2)`

D

None

Text Solution

Verified by Experts

The correct Answer is:
B
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