Question

How do you find the derivative of `2 sqrt x`?

Answer 1

`1/sqrt{x}`

Explanation:

Don't worry, you don't need the chain rule for this one.

2 is a constant so it can be taken out of the expression.

`d/dx[2sqrt{x}] = 2 d/dx[sqrt{x}] = 2 d/dx[x^{1/2}]`

`2 d/dx[x^{1/2}] = 2 times 1/2x^{-1/2} = x^{-1/2}`

`x^{-1/2} = 1/sqrt{x}`