# If x=at^2, y= 2at , then find dy/dx. - Mathematics and Statistics

If x=at2, y= 2at , then find dy/dx.

#### Solution

We have, y = 2at

dy/dt=2ad/dt(t)=2a(1)=2a

also x=at^2

dx/dx=a d/dt(t^2)=a(2t)=2at

now dy/dx= (dy/dt)/(dx/dt)=(2a)/(2at)=1/t

Concept: Derivatives of Functions in Parametric Forms
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