\(\displaystyle{\frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{t}\right.}}}}={\left({6}{x}{\ln{{4}}}\right)}\dot{{\lbrace}}{4}^{{{x}^{{{2}}}+{2}}}\)

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 2021-05-01

Find derivatives of the functions defined as follows.

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

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

asked 2021-06-21

Find derivatives of the functions defined as follows.

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

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

asked 2021-05-16

Find derivatives of the functions defined as follows.

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

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

asked 2021-06-10

Find derivatives of the functions defined as follows.

\(s=5 \cdot 2^{\sqrt{t-2}}\)

asked 2021-03-06

Find derivatives of the functions defined as follows. \(y=3 \cdot 4^{x^{2}+2}\)

asked 2021-05-12

Find derivatives of the functions defined as follows.

\(\displaystyle{y}={\left({x}+{3}\right)}^{{{2}}}{e}^{{{4}{x}}}\)

\(\displaystyle{y}={\left({x}+{3}\right)}^{{{2}}}{e}^{{{4}{x}}}\)

asked 2021-06-07

Find derivatives of the functions defined as follows.

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

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

asked 2020-11-08

Find derivatives of the functions defined as follows. \(y=4^{(-5x+2)}\)

asked 2020-10-23

Find derivatives of the functions defined as follows. \((y= -10^{3x^2-4})\)