Question

what is the answer of dy/dx​

Answer 1

Answer:

dy/dx = 1/t

Step-by-step explanation:

dy/dx = dy/dx * dt/dt

dy/dx = dy/dt * dt/dx

dy/dx = dy/dt / dx/dt

calculating dy/dt

y = 2at

dy/dt = d(2at)/dt

dy/dt = 2a * d(t)/dt

dy/dt =2a

calculating dx/dt

x = at²

dx/dt = d(at²)/dt

dx/dt = a * d(t²)/dt

dx/dt = 2at

therefore,

dy/dx = dy/dt / dx/dt

dy/dx = 2a/2at

dy/dx = 1/t