Question

If y=at^2 and x=2at where x,y,t are variables and is a constant then find dy/dx ?

Answer 1

`dy/dx = t`

Explanation:

We have:

`y= at^2` and `x=2at`

Differentiating wrt `t` we have:

`dy/dt= 2at` and `dx/dt=2a`

And, By the Chain rule, we have:

`dy/dx = (dy//dt)/(dx//dt)`

`\ \ \ \ \ \= (2at)/(2a)`

`\ \ \ \ \ \= t`