Question

Find dy/dx if x = at² , y = 2at.

Answer 1

Hi...

Here is your answer...

Given that

x = at² , y = 2at

So,

$\frac{dx}{dt} = 2at \: \: \: and \: \: \: \frac{dy}{dt} = 2a \\ \\ Therefore \\ \\ \frac{dy}{dx} = \frac{ \frac{dy}{dt} }{ \frac{dx}{dt} } = \frac{2a}{2at} = \frac{1}{t}$

Answer 2

I have mistaken in the image .
I am really very Sorry for that .

(dy/dt)/(dx/dt) = 2a/2at

=> dy/dx = 1/t [Ans.]

Now it's correct.



Hope it will help you .