Question Number 200251 by Calculusboy last updated on 16/Nov/23
Answered by Mathspace last updated on 16/Nov/23
$${f}\left({x},{y}\right)={sin}\left({e}^{{xy}} +{e}^{{x}} \right)\:\Rightarrow \\ $$$$\frac{\partial}{\partial{x}}{f}\left({x},{y}\right)=\frac{\partial}{\partial{x}}\left({e}^{{xy}} +{e}^{{x}} \right){cos}\left({e}^{{xy}} +{e}^{{x}} \right) \\ $$$$=\left({ye}^{{xy}} +{e}^{{x}} \right){cos}\left({e}^{{xy}} +{e}^{{x}} \right) \\ $$
Commented by Calculusboy last updated on 16/Nov/23
$$\boldsymbol{{thanks}} \\ $$