Find the Derivative of the Function $\sqrt[8]{x}+\frac{1}{\sqrt[6]{x}}$ A) $\frac{1}{8 x^{7 / 8}}+\frac{1}{6 x^{7 / 6}}$

Multiple Choice

Find the derivative of the function. $\sqrt[8]{x}+\frac{1}{\sqrt[6]{x}}$

A) $\frac{1}{8 x^{7 / 8}}+\frac{1}{6 x^{7 / 6}}$
B) $\frac{x^{7 / 8}}{8}-\frac{1}{6 x^{7 / 6}}$
C) $\frac{1}{8 x^{7 / 8}}-\frac{1}{6 x^{7 / 6}}$
D) $\frac{x^{7 / 8}}{8}+\frac{1}{6 x^{7 / 6}}$