To find the first partial derivatives:

Question

asked 2021-03-26

Find the first partial derivatives of the following functions.

\(\displaystyle{g{{\left({x},{y}\right)}}}={{\cos}^{{{5}}}{\left({x}^{{{2}}}{y}^{{{3}}}\right)}}\)

\(\displaystyle{g{{\left({x},{y}\right)}}}={{\cos}^{{{5}}}{\left({x}^{{{2}}}{y}^{{{3}}}\right)}}\)

asked 2021-03-23

Find the first partial derivatives of the following functions.

\(\displaystyle{g{{\left({x},{y}\right)}}}={y}{{\sin}^{{-{1}}}\sqrt{{{x}{y}}}}\)

\(\displaystyle{g{{\left({x},{y}\right)}}}={y}{{\sin}^{{-{1}}}\sqrt{{{x}{y}}}}\)

asked 2021-05-18

Find all the second-order partial derivatives of the functions \(\displaystyle{g{{\left({x},{y}\right)}}}={{\cos{{x}}}^{{{2}}}-}{\sin{{3}}}{y}\)

asked 2021-06-03

Find the first partial derivatives of the following functions.

\(\displaystyle{h}{\left({x},{y},{z}\right)}={\cos{{\left({x}+{y}+{z}\right)}}}\)

\(\displaystyle{h}{\left({x},{y},{z}\right)}={\cos{{\left({x}+{y}+{z}\right)}}}\)