Question

Find derivatives for the functions. Assume a, b, c, and k are constants. v(t)=t^{2}e^{-et}

Derivatives
ANSWERED
asked 2021-06-25
Find derivatives for the functions. Assume a, b, c, and k are constants.
\(\displaystyle{v}{\left({t}\right)}={t}^{{{2}}}{e}^{{-{e}{t}}}\)

Answers (1)

2021-06-26
\(\displaystyle{v}'{\left({t}\right)}={\left({t}^{{{2}}}{e}^{{-{c}{t}}}\right)}'\)
\(\displaystyle={\left({t}^{{{2}}}\right)}'{e}^{{-{c}{t}}}+{t}^{{{2}}}{\left({e}^{{-{c}{t}}}\right)}'\)
\(\displaystyle={2}{t}{e}^{{-{c}{t}}}-{c}{t}^{{{2}}}{e}^{{-{c}{t}}}\)
0
 
Best answer

expert advice

Need a better answer?
...