Question

# Find derivatives for the functions. Assume a, b, c, and k are constants. h(x)=\sqrt{\frac{x^{2}+9}{x+3}}

Derivatives
$$\displaystyle{h}{\left({x}\right)}=\sqrt{{{\frac{{{x}^{{{2}}}+{9}}}{{{x}+{3}}}}}}$$
$$\displaystyle{h}'{\left({x}\right)}={\frac{{{x}^{{{2}}}+{6}{x}-{9}}}{{{2}{\left({x}+{3}\right)}^{{{2}}}}}}\dot{\sqrt{{{\frac{{{x}+{3}}}{{{x}^{{{2}}}+{9}}}}}}}$$