\(\displaystyle{g}'{\left({x}\right)}={2}+{\frac{{{1}}}{{{3}}}}{x}^{{-{\frac{{{4}}}{{{3}}}}}}+{\ln{{3}}}\dot{{\lbrace}}{3}^{{{x}}}\)

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 2021-05-05

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

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

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

asked 2021-05-01

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

\(\displaystyle{h}{\left({x}\right)}=\sqrt{{{\frac{{{x}^{{{2}}}+{9}}}{{{x}+{3}}}}}}\)

\(\displaystyle{h}{\left({x}\right)}=\sqrt{{{\frac{{{x}^{{{2}}}+{9}}}{{{x}+{3}}}}}}\)

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 2021-05-09

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 2021-05-11

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

\(\displaystyle{f{{\left({t}\right)}}}={2}{t}{e}^{{{t}}}-{\frac{{{1}}}{{\sqrt{{{t}}}}}}\)

\(\displaystyle{f{{\left({t}\right)}}}={2}{t}{e}^{{{t}}}-{\frac{{{1}}}{{\sqrt{{{t}}}}}}\)

asked 2021-06-08

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

\(\displaystyle{f{{\left({z}\right)}}}={\frac{{{z}^{{{2}}}+{1}}}{{\sqrt{{{z}}}}}}\)

\(\displaystyle{f{{\left({z}\right)}}}={\frac{{{z}^{{{2}}}+{1}}}{{\sqrt{{{z}}}}}}\)

asked 2021-06-13

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

\(\displaystyle{f{{\left({x}\right)}}}={\frac{{{x}^{{{3}}}}}{{{9}}}}{\left({3}{\ln{{x}}}-{1}\right)}\)

\(\displaystyle{f{{\left({x}\right)}}}={\frac{{{x}^{{{3}}}}}{{{9}}}}{\left({3}{\ln{{x}}}-{1}\right)}\)

asked 2021-05-17

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

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

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

asked 2021-06-09

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

\(\displaystyle{g{{\left({w}\right)}}}={\frac{{{5}}}{{{\left({a}^{{{2}}}-{w}^{{{2}}}\right)}^{{{2}}}}}}\)

\(\displaystyle{g{{\left({w}\right)}}}={\frac{{{5}}}{{{\left({a}^{{{2}}}-{w}^{{{2}}}\right)}^{{{2}}}}}}\)