Question

find dy/dx if x=t^2-1,y=3t^2

Answer 1

Answer: 3

Step-by-step explanation:

Given : y = 3t^2 and x = t^2- 1

differentiate y and x with respect to t.

You will get

dy/dt = 6t and dx/dt = 2t

Now, dy/dx = (dy/dt) / (dx/dt), as the dt term cancels out.

So, dy/dx = 6t/2t

                = 3

Hope this helps.