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

##### 1 Answer

Jun 17, 2018

# dy/dx = t #

#### Explanation:

We have:

# y= at^2 # and#x=2at #

Differentiating wrt

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

And, By the Chain rule, we have:

# dy/dx = (dy//dt)/(dx//dt) #

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

# \ \ \ \ \ \= t #