\(\displaystyle{h}'{\left({w}\right)}={\left[{\left({w}^{{{4}}}-{2}{w}\right)}^{{{5}}}\right]}'\)

\(\displaystyle={\left({w}^{{{4}}}-{2}{w}\right)}'\dot{{5}}{\left({w}^{{{4}}}-{2}{w}\right)}^{{{4}}}\)

\(\displaystyle={10}{\left({2}{w}^{{{3}}}-{1}\right)}{\left({w}^{{{4}}}-{2}{w}\right)}^{{{4}}}\)

\(\displaystyle={\left({w}^{{{4}}}-{2}{w}\right)}'\dot{{5}}{\left({w}^{{{4}}}-{2}{w}\right)}^{{{4}}}\)

\(\displaystyle={10}{\left({2}{w}^{{{3}}}-{1}\right)}{\left({w}^{{{4}}}-{2}{w}\right)}^{{{4}}}\)