\(\displaystyle{y}'={\left({17}{x}+{24}{x}^{{{\frac{{{1}}}{{{2}}}}}}\right)}'\)

\(\displaystyle={17}{\left({x}\right)}'+{24}{\left({x}^{{{\frac{{{1}}}{{{2}}}}}}\right)}'\)

\(\displaystyle={17}+{12}{x}^{{{\frac{{{1}}}{{{2}}}}}}\)

\(\displaystyle={17}{\left({x}\right)}'+{24}{\left({x}^{{{\frac{{{1}}}{{{2}}}}}}\right)}'\)

\(\displaystyle={17}+{12}{x}^{{{\frac{{{1}}}{{{2}}}}}}\)