Use logarithmic differentiation to find the derivative of the function. $y=\sqrt[9]{\frac{x^{2}+1}{x^{2}-1}}$
A) $y^{\prime}=-\frac{9 x}{\left(x^{4}-1\right)} \sqrt[9]{\frac{x^{2}+1}{x^{2}-1}}$
B) $y^{\prime}=\frac{9 x}{4 x^{4}-1} \sqrt[9]{\frac{x^{2}+1}{x^{2}-1}}$
C) $y^{\prime}=-\frac{36 x}{x^{4}-1} \sqrt[9]{\frac{x^{2}+1}{x^{2}-1}}$
D) $y^{\prime}=-\frac{36 x}{x^{4}-1}$
E) $y^{\prime}=-\frac{4 x}{9\left(x^{4}-1\right)} \sqrt[9]{\frac{x^{2}+1}{x^{2}-1}}$

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The Answer of Use logarithmic differentiation to find the derivative of the function. $y=\sqrt[9]{\frac{x^{2}+1}{x^{2}-1}}$
A) $y^{\prime}=-\frac{9 x}{\left(x^{4}-1\right)} \sqrt[9]{\frac{x^{2}+1}{x^{2}-1}}$
B) $y^{\prime}=\frac{9 x}{4 x^{4}-1} \sqrt[9]{\frac{x^{2}+1}{x^{2}-1}}$
C) $y^{\prime}=-\frac{36 x}{x^{4}-1} \sqrt[9]{\frac{x^{2}+1}{x^{2}-1}}$
D) $y^{\prime}=-\frac{36 x}{x^{4}-1}$
E) $y^{\prime}=-\frac{4 x}{9\left(x^{4}-1\right)} \sqrt[9]{\frac{x^{2}+1}{x^{2}-1}}$

Use Logarithmic Differentiation to Find the Derivative of the Function y=x2+1x2−19y=\sqrt[9]{\frac{x^{2}+1}{x^{2}-1}}y=9x2−1x2+1​​

Use Logarithmic Differentiation to Find the Derivative of the Function $y=\sqrt[9]{\frac{x^{2}+1}{x^{2}-1}}$