\(\displaystyle{f}'{\left({z}\right)}={8}{z}-{8}{z}^{{{2}}}{e}^{{-{z}^{{{2}}}}}+{4}{e}^{{-{z}^{{{2}}}}}-{4}{z}{e}^{{-{2}{z}^{{{2}}}}}\)

Question

asked 2021-06-28

Find derivatives of the functions defined as follows.

\(\displaystyle{y}={4}^{{-{5}{x}+{2}}}\)

\(\displaystyle{y}={4}^{{-{5}{x}+{2}}}\)

asked 2021-06-24

Find derivatives of the functions defined as follows.

\(\displaystyle{y}={3}\dot{{\lbrace}}{4}^{{{x}^{{{2}}}+{2}}}\)

\(\displaystyle{y}={3}\dot{{\lbrace}}{4}^{{{x}^{{{2}}}+{2}}}\)

asked 2021-05-01

Find derivatives of the functions defined as follows.

\(\displaystyle{y}=-{10}^{{{3}{x}^{{{2}}}-{4}}}\)

\(\displaystyle{y}=-{10}^{{{3}{x}^{{{2}}}-{4}}}\)

asked 2021-05-16

Find derivatives of the functions defined as follows.

\(\displaystyle{p}={\frac{{{1000}}}{{{9}+{4}{e}^{{-{0.2}{t}}}}}}\)

\(\displaystyle{p}={\frac{{{1000}}}{{{9}+{4}{e}^{{-{0.2}{t}}}}}}\)