Question

If x = 2at² , y = 4at, then `dy/dx = ?`

Options

• `- 1/(2at^2)`

• `1/(2at^3)`

• `1/t`

• `1/(4at^3)`

Answer 1

`bb(1/t)`

Explanation:

x = 2at² , y = 4at

∴ `dx/dt = 2a(2t) and dy/dx = 4a`

∴ `dx/dt = 4at  and  dy/dt = 4a`

∴ `dy/dx = (dy/dt)/(dx/dt) = (4a)/(4at) = 1/t`