Question

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

Derivatives
ANSWERED
asked 2021-05-01
Find derivatives for the functions. Assume a, b, c, and k are constants.
\(\displaystyle{h}{\left({x}\right)}=\sqrt{{{\frac{{{x}^{{{2}}}+{9}}}{{{x}+{3}}}}}}\)

Answers (1)

2021-05-02
\(\displaystyle{h}'{\left({x}\right)}={\frac{{{x}^{{{2}}}+{6}{x}-{9}}}{{{2}{\left({x}+{3}\right)}^{{{2}}}}}}\dot{\sqrt{{{\frac{{{x}+{3}}}{{{x}^{{{2}}}+{9}}}}}}}\)
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