\(dy/dt=5*2^(sqrt(t-2))(ln2)1/(2sqrt(t-2))\)

\(dy/dt=(5(ln2)(2^(sqrt(t-2))))/(2sqrt(t-2))\)

\(dy/dt=(5(ln2)(2^(sqrt(t-2))))/(2sqrt(t-2))\)

Question

asked 2021-06-06

Find derivatives of the functions defined as follows: \(\displaystyle{y}={x}^{{{e}{x}}}\)

asked 2021-03-07

Find derivatives of the functions defined as follows. \(y=(te^{t}=2)/(e^{2t}+1)\)

asked 2021-05-25

Use the rules for derivatives to find the derivative of each function defined as follows. \(\displaystyle{y}={2}{\tan{{5}}}{x}\)

asked 2021-05-11

Use the rules for derivatives to find the derivative of function defined as follows.

\(\displaystyle{q}={\left({e}^{{{2}{p}+{1}}}-{2}\right)}^{{{4}}}\)

\(\displaystyle{q}={\left({e}^{{{2}{p}+{1}}}-{2}\right)}^{{{4}}}\)

asked 2021-03-06

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

asked 2021-04-18

Find the derivatives of the following functions.

\(\displaystyle{g{{\left({t}\right)}}}={{\sin{{h}}}^{{-{1}}}\sqrt{{{t}}}}\)

\(\displaystyle{g{{\left({t}\right)}}}={{\sin{{h}}}^{{-{1}}}\sqrt{{{t}}}}\)

asked 2020-12-21

Find derivatives of the functions defined as follows.
\(s=2*3^(sqrt t)\)

asked 2021-06-04

Using the definition, calculate the derivatives of the functions. Then find the values of the derivatives as specified.

\(\displaystyle{k}{\left({z}\right)}={\frac{{{1}-{z}}}{{{2}{z}}}}.{k}'{\left(-{1}\right)},{k}'{\left({1}\right)},{k}'{\left(\sqrt{{{2}}}\right)}\)

\(\displaystyle{k}{\left({z}\right)}={\frac{{{1}-{z}}}{{{2}{z}}}}.{k}'{\left(-{1}\right)},{k}'{\left({1}\right)},{k}'{\left(\sqrt{{{2}}}\right)}\)

asked 2021-05-26

Using the definition, calculate the derivatives of the function. Then find the values of the derivatives as specified.

\(\displaystyle{g{{\left({t}\right)}}}={\frac{{{1}}}{{{t}^{{{2}}}}}}.{g}'{\left(-{1}\right)},{g}'{\left({2}\right)},{g}'{\left(\sqrt{{{3}}}\right)}\)

\(\displaystyle{g{{\left({t}\right)}}}={\frac{{{1}}}{{{t}^{{{2}}}}}}.{g}'{\left(-{1}\right)},{g}'{\left({2}\right)},{g}'{\left(\sqrt{{{3}}}\right)}\)

asked 2021-05-16

Find the first partial derivatives of the following functions.

\(\displaystyle{h}{\left({x},{y}\right)}={x}-\sqrt{{{x}^{{{2}}}-{4}{y}}}\)

\(\displaystyle{h}{\left({x},{y}\right)}={x}-\sqrt{{{x}^{{{2}}}-{4}{y}}}\)