Question

if x=2at and y=at² where a is a constant dx/dy =?​

Answer 1

given,

x=at2 and y=2at

On differentiating both sides w.r.t. t, we get,

dtdx=2at and dtdy=2a

Therefore,

dxdy=2at2a=t1

Now, dx2d2y=dtd(dxdy)×dxdt

=dtd(t1)×2at1=−t21×2at1=−2at31

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Answer 2

Answer:

dx/dt=2a

dy/dt=2at

dx/dy=1/t

Answer