Question

Find derivatives of the functions defined as follows. p=\frac{1000}{9+4e^{-0.2t}}

Composite functions
ANSWERED
asked 2021-05-16
Find derivatives of the functions defined as follows.
\(\displaystyle{p}={\frac{{{1000}}}{{{9}+{4}{e}^{{-{0.2}{t}}}}}}\)

Answers (1)

2021-05-17
\(\displaystyle{\frac{{{d}{p}}}{{{\left.{d}{t}\right.}}}}={8000}{\left({9}+{4}{e}^{{-{0.2}{t}}}\right)}^{{{2}}}{e}^{{-{0.2}{t}}}\)
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