IMathAS-libretexts

Find the derivative.

$\displaystyle {y}=\frac{{{5}{x}-{8}}}{{{8}{x}+{7}}}$

$\displaystyle \frac{{{5}{\left({5}{x}-{8}\right)}-{8}{\left({8}{x}+{7}\right)}}}{{\left({8}{x}+{7}\right)}^{{2}}}$
$\displaystyle \frac{{{8}{\left({5}{x}-{8}\right)}-{5}{\left({8}{x}+{7}\right)}}}{{\left({8}{x}+{7}\right)}^{{2}}}$
$\displaystyle {8}{\left({5}{x}-{8}\right)}-{5}{\left({8}{x}+{7}\right)}$
$\displaystyle \frac{{{5}{\left({8}{x}+{7}\right)}-{8}{\left({5}{x}-{8}\right)}}}{{\left({8}{x}+{7}\right)}^{{2}}}$
$\displaystyle {5}{\left({8}{x}+{7}\right)}+{8}{\left({5}{x}-{8}\right)}$
$\displaystyle \frac{{{5}{\left({8}{x}+{7}\right)}+{8}{\left({5}{x}-{8}\right)}}}{{\left({8}{x}+{7}\right)}^{{2}}}$
$\displaystyle {5}{\left({8}{x}+{7}\right)}-{8}{\left({5}{x}-{8}\right)}$
$\displaystyle \frac{{5}}{{8}}$