Question

Find derivative of (x^2+3)^1/2

Answer 1

Derivative is this picture

Answer 2

Answer:
`\bold{(x)/(√(x^2+3))}`

Explanation:

Use the chain rule: the derivative of the term multiplied by the derivative of the inside

`f=(x^2+3)^{(1)/(2)}\\\\f'=(1)/(2)(x^2+3)^{-(1)/(2)}\cdot (2x)\\\\\\.\ =x(x^2+3)^{-(1)/(2)}\\\\\\.\ =(x)/(√(x^2+3))`