Question Number 165746 by Eric002 last updated on 07/Feb/22
$${compute}\:{the}\:{extreme}\:{points}\:{of}:\: \\ $$$${f}={e}^{{x}} {sin}\left({x}+{y}\right) \\ $$
Answered by TheSupreme last updated on 07/Feb/22
$${y}=\mathrm{0} \\ $$$${f}\left({x},\mathrm{0}\right)={e}^{{x}} {sin}\left({x}\right) \\ $$$${f}\left({k}\frac{\pi}{\mathrm{2}}\right)=\left(−\mathrm{1}\right)^{{k}} {e}^{{k}\pi} \\ $$$${li}\underset{{k}} {{m}f}\left({k}\frac{\pi}{\mathrm{2}}\right)=\pm\infty \\ $$
Commented by Eric002 last updated on 07/Feb/22
$${why}\:{did}\:{you}\:{assume}\:{y}=\mathrm{0}\:?? \\ $$