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 #