Use the Quotient Rule to Find the Derivative $g(x)=\frac{x^{2}+5}{x^{2}+6 x}$ A) $g^{\prime}(x)=\frac{6 x^{2}-10 x-30}{x^{2}(x+6)^{2}}$

Multiple Choice

Use the quotient rule to find the derivative.
- $g(x) =\frac{x^{2}+5}{x^{2}+6 x}$

A) $g^{\prime}(x) =\frac{6 x^{2}-10 x-30}{x^{2}(x+6) ^{2}}$
B) $g^{\prime}(x) =\frac{x^{4}+6 x^{3}+5 x^{2}+30 x}{x^{2}(x+6) ^{2}}$
C) $g^{\prime}(x) =\frac{2 x^{3}-5 x^{2}-30 x}{x^{2}(x+6) ^{2}}$
D) $g^{\prime}(x) =\frac{4 x^{3}+18 x^{2}+10 x+30}{x^{2}(x+6) ^{2}}$