Question

Let x= 2at , y= 2at^2 then dy/dx =______________ *

Answer 1

Step-by-step explanation:

We have,

$x = 2at \: \: and \: \: y = 2at^{2}$

Differentiating w.r.t t,

$\frac{dx}{dt} = 2a \: \: and \: \: \frac{dy}{dt} = 4at$

$= > \frac{dy}{dx} = \frac{ \frac{dy}{dt} }{ \frac{dy}{dt} } = \frac{2at^{2} }{2a}$

$= > \frac{dy}{dx} = {t}^{2}$