Advertisement Remove all ads

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

Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads

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

Advertisement Remove all ads

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
  Is there an error in this question or solution?

APPEARS IN

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×