Find derivatives for the functions. Assume a, b, c, and k are constants. g(x)=2x-\frac{1}{\sqrt[3]{x}}+3^{x}-e

Derivatives
$$\displaystyle{g{{\left({x}\right)}}}={2}{x}-{\frac{{{1}}}{{\sqrt{{{3}}}{\left\lbrace{x}\right\rbrace}}}}+{3}^{{{x}}}-{e}$$
$$\displaystyle{g}'{\left({x}\right)}={2}+{\frac{{{1}}}{{{3}}}}{x}^{{-{\frac{{{4}}}{{{3}}}}}}+{\ln{{3}}}\dot{{\lbrace}}{3}^{{{x}}}$$