Answer: [tex]\bold{\dfrac{x}{\sqrt{x^2+3}}}[/tex]
Step-by-step explanation:
Use the chain rule: the derivative of the term multiplied by the derivative of the inside
[tex]f=(x^2+3)^{\frac{1}{2}}\\\\f'=\dfrac{1}{2}(x^2+3)^{-\frac{1}{2}}\cdot (2x)\\\\\\.\ =x(x^2+3)^{-\frac{1}{2}}\\\\\\.\ =\dfrac{x}{\sqrt{x^2+3}}[/tex]
