Question

# Find derivatives for the functions. Assume a, b, c, and k are constants. g(x)=−\frac{1}{2}(x^{5}+2x−9)

Derivatives
Find derivatives for the functions. Assume a, b, c, and k are constants.
$$\displaystyle{g{{\left({x}\right)}}}=−{\frac{{{1}}}{{{2}}}}{\left({x}^{{{5}}}+{2}{x}−{9}\right)}$$

$$\displaystyle{g}'{\left({x}\right)}={\left[-{\frac{{{1}}}{{{2}}}}{\left({x}^{{{5}}}+{2}{x}-{9}\right)}\right]}'$$
$$\displaystyle=-{\frac{{{1}}}{{{2}}}}{\left[{\left({x}^{{{5}}}\right)}'+{2}{\left({x}\right)}'+{\left({9}\right)}'\right]}$$
$$\displaystyle=-{\frac{{{1}}}{{{2}}}}{\left({5}{x}^{{{4}}}+{2}\right)}$$