\(\displaystyle{f}'{\left({x}\right)}={\left[{5}{\sin{{\left({2}{x}\right)}}}\right]}'\)

\(\displaystyle={5}{\left[{\sin{{\left({2}{x}\right)}}}\right]}'\)

\(\displaystyle={10}{\cos{{\left({2}{x}\right)}}}\)

\(\displaystyle={5}{\left[{\sin{{\left({2}{x}\right)}}}\right]}'\)

\(\displaystyle={10}{\cos{{\left({2}{x}\right)}}}\)