Question

Y = √x Find dy/dt when x = 4 Given : dx/dt = 3

Answer 1

3/4.

Explanation:

y = x^1/2

dy/dx = 1/2 x^-1/2

dy/dt = dy/dx * dx/dt

= 1/2 x^-1/2 * 3

= 3/2 x^-1/2

When x = 4:

dy/dt = 3/2 * 4 ^-1/2

= 3/2* 1/ √4

= 3/2 * 1/2

= 3/4.