Question

If x = at^2, y = 2at then dy/dx =

Answer 1

Answer:

Step-by-step explanation:

dy/dt=2a---------->1

dx/dt=2at---------->2

1/2=(dy/dt)/(dx/dt)=dy/dx

dy/dx=2a/2at

dy/dx=1/t

Answer 2

ANSWER:-

$\sf\green{Given\:that\:x={at}^{2},y=2at}$

$\longrightarrow$$\sf\red{\frac{dx}{dy} = 2at \: and \: \frac{dy}{dt} = 2a}$

$\longrightarrow$$\sf\red{ \frac{dy}{dx} = \frac{ \frac{dy}{dt} }{ \frac{dx}{dt} } = \frac{2a}{2at} = \frac{1}{t} }$