Question

What is the derivative of `y=x (4-x)^.5`?

Answer 1

`dy/dx = (8 - 3x)/(2sqrt(4-x))`

Explanation:

`dy/dx = 1 xx (4 - x)^(0.5) + 0.5(4 - x)^(0.5-1) (-1) xx x`

`dy/dx = (4 - x)^(0.5) - (0.5x)/(4 - x)^0.5`

`dy/dx = (8 - 3x)/(2sqrt(4-x))`