\(\displaystyle{g}'{\left({w}\right)}={\frac{{{20}{w}}}{{{\left({a}^{{{2}}}-{w}^{{{2}}}\right)}^{{{3}}}}}}\)

asked 2021-05-09

Find derivatives for the functions. Assume a, b, c, and k are constants.

\(\displaystyle{g{{\left({x}\right)}}}=−{\frac{{{1}}}{{{2}}}}{\left({x}^{{{5}}}+{2}{x}−{9}\right)}\)

\(\displaystyle{g{{\left({x}\right)}}}=−{\frac{{{1}}}{{{2}}}}{\left({x}^{{{5}}}+{2}{x}−{9}\right)}\)

asked 2021-05-28

Find derivatives for the functions. Assume a, b, c, and k are constants.

\(\displaystyle{h}{\left({w}\right)}={\left({w}^{{{4}}}-{2}{w}\right)}^{{{5}}}\)

\(\displaystyle{h}{\left({w}\right)}={\left({w}^{{{4}}}-{2}{w}\right)}^{{{5}}}\)

asked 2021-06-12

Find derivatives for the functions. Assume a, b, c, and k are constants.

\(\displaystyle{f{{\left({x}\right)}}}={\frac{{{1}}}{{{x}^{{{2}}}}}}+{5}\sqrt{{{x}}}-{7}\)

\(\displaystyle{f{{\left({x}\right)}}}={\frac{{{1}}}{{{x}^{{{2}}}}}}+{5}\sqrt{{{x}}}-{7}\)

asked 2021-06-06

Find derivatives for the functions. Assume a, b, c, and k are constants.

\(\displaystyle{g{{\left({x}\right)}}}={\frac{{{x}^{{{2}}}+\sqrt{{{x}}}+{1}}}{{{x}^{{{\frac{{{3}}}{{{2}}}}}}}}}\)

\(\displaystyle{g{{\left({x}\right)}}}={\frac{{{x}^{{{2}}}+\sqrt{{{x}}}+{1}}}{{{x}^{{{\frac{{{3}}}{{{2}}}}}}}}}\)

asked 2021-06-01

Find derivatives for the functions. Assume a, b, c, and k are constants.

\(\displaystyle{W}{\left({t}\right)}={r}^{{{2}}}{\cos{{r}}}\)

\(\displaystyle{W}{\left({t}\right)}={r}^{{{2}}}{\cos{{r}}}\)

asked 2021-07-01

Find derivatives for the functions. Assume a, b, c, and k are constants.

\(\displaystyle{g{{\left({x}\right)}}}={2}{x}-{\frac{{{1}}}{{\sqrt{{{3}}}{\left\lbrace{x}\right\rbrace}}}}+{3}^{{{x}}}-{e}\)

\(\displaystyle{g{{\left({x}\right)}}}={2}{x}-{\frac{{{1}}}{{\sqrt{{{3}}}{\left\lbrace{x}\right\rbrace}}}}+{3}^{{{x}}}-{e}\)

asked 2021-06-06

Find derivatives for the functions. Assume a, b, c, and k are constants.

\(\displaystyle{g{{\left({x}\right)}}}={\sin{{\left({2}-{3}{x}\right)}}}\)

\(\displaystyle{g{{\left({x}\right)}}}={\sin{{\left({2}-{3}{x}\right)}}}\)

asked 2021-06-22

Find derivatives for the functions. Assume a, b, c, and k are constants.

\(\displaystyle{h}{\left({w}\right)}={w}^{{{3}}}{\ln{{\left({10}{w}\right)}}}\)

\(\displaystyle{h}{\left({w}\right)}={w}^{{{3}}}{\ln{{\left({10}{w}\right)}}}\)

asked 2021-05-09

Find derivatives for the functions. Assume a, b, c, and k are constants.

\(\displaystyle{y}={\left({x}^{{{2}}}+{5}\right)}^{{{3}}}{\left({3}{x}^{{{3}}}-{2}\right)}^{{{2}}}\)

\(\displaystyle{y}={\left({x}^{{{2}}}+{5}\right)}^{{{3}}}{\left({3}{x}^{{{3}}}-{2}\right)}^{{{2}}}\)

asked 2021-05-05

Find derivatives for the functions. Assume a, b, c, and k are constants.

\(\displaystyle{y}={\frac{{{e}^{{{2}{x}}}}}{{{x}^{{{2}}}+{1}}}}\)

\(\displaystyle{y}={\frac{{{e}^{{{2}{x}}}}}{{{x}^{{{2}}}+{1}}}}\)