Question

Find derivatives for the functions. Assume a, b, c, and k are constants. h(w)=-2w^{-3}+3\sqrt{w}

Derivatives
ANSWERED
asked 2021-05-17
Find derivatives for the functions. Assume a, b, c, and k are constants.
\(\displaystyle{h}{\left({w}\right)}=-{2}{w}^{{-{3}}}+{3}\sqrt{{{w}}}\)

Answers (1)

2021-05-18
\(\displaystyle{h}'{\left({w}\right)}={\left(-{2}{w}^{{-{3}}}+{3}\sqrt{{{w}}}\right)}'=-{2}{\left({w}^{{+{3}}}\right)}'+{3}{\left(\sqrt{{{w}}}\right)}'={6}{w}^{{-{4}}}+{\frac{{{3}}}{{{2}\sqrt{{{w}}}}}}\)
\(\displaystyle{h}{]}{\left({w}\right)}={6}{w}^{{-{4}}}+{\frac{{{3}}}{{{2}\sqrt{{{w}}}}}}\)
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