Question

Find derivatives for the functions. Assume a, b, c, and k are constants. h(w)=(w^{4}-2w)^{5}

Derivatives
ANSWERED
asked 2021-05-28
Find derivatives for the functions. Assume a, b, c, and k are constants.
\(\displaystyle{h}{\left({w}\right)}={\left({w}^{{{4}}}-{2}{w}\right)}^{{{5}}}\)

Answers (1)

2021-05-29
\(\displaystyle{h}'{\left({w}\right)}={\left[{\left({w}^{{{4}}}-{2}{w}\right)}^{{{5}}}\right]}'\)
\(\displaystyle={\left({w}^{{{4}}}-{2}{w}\right)}'\dot{{5}}{\left({w}^{{{4}}}-{2}{w}\right)}^{{{4}}}\)
\(\displaystyle={10}{\left({2}{w}^{{{3}}}-{1}\right)}{\left({w}^{{{4}}}-{2}{w}\right)}^{{{4}}}\)
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