Question

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

Derivatives
ANSWERED
asked 2021-05-09
Find derivatives for the functions. Assume a, b, c, and k are constants.
\(\displaystyle{g{{\left({x}\right)}}}=−{\frac{{{1}}}{{{2}}}}{\left({x}^{{{5}}}+{2}{x}−{9}\right)}\)

Answers (1)

2021-05-10
\(\displaystyle{g}'{\left({x}\right)}={\left[-{\frac{{{1}}}{{{2}}}}{\left({x}^{{{5}}}+{2}{x}-{9}\right)}\right]}'\)
\(\displaystyle=-{\frac{{{1}}}{{{2}}}}{\left[{\left({x}^{{{5}}}\right)}'+{2}{\left({x}\right)}'+{\left({9}\right)}'\right]}\)
\(\displaystyle=-{\frac{{{1}}}{{{2}}}}{\left({5}{x}^{{{4}}}+{2}\right)}\)
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