Compute the derivatives of the given functions. a) $f(x)=\ln \left(2 x^{4}\right), \quad f^{\prime}(x)=$ b) $g(x)=\ln (\sqrt[5]{x}), \quad g^{\prime}(x)=$

Step 1 ：\( \frac{d}{dx}(\ln (2x^{4})) = \frac{1}{2x^{4}} \frac{d}{dx}(2x^{4}) \)

Step 2 ：\( = \frac{1}{2x^{4}}(8x^{3}) \)

Step 3 ：\( = \frac{4}{x} \)

Step 4 ：\( \frac{d}{dx}(\ln (x^{1/5})) = \frac{1}{x^{1/5}} \frac{d}{dx}(x^{1/5}) \)

Step 5 ：\( = \frac{1}{x^{1/5}}(\frac{1}{5}x^{-4/5}) \)

Step 6 ：\( = \frac{1}{5x} \)

Step 7 ：\(\boxed{f'(x) = \frac{4}{x}}\)

Step 8 ：\(\boxed{g'(x) = \frac{1}{5x}}\)