Question

Find derivatives for the functions. Assume a, b, c, and k are constants. D(p)=e^{p^{2}}+5p^{2}

Derivatives
ANSWERED
asked 2021-05-13
Find derivatives for the functions. Assume a, b, c, and k are constants.
\(\displaystyle{D}{\left({p}\right)}={e}^{{{p}^{{{2}}}}}+{5}{p}^{{{2}}}\)

Answers (1)

2021-05-14
Find derivative of given function:
\(\displaystyle{D}'{\left({p}\right)}=^{{{1}}}{e}^{{{p}^{{{2}}}}}\dot{{{p}^{{{2}}}}}'+{5}\dot{{2}}{p}\)
\(\displaystyle={e}^{{{p}^{{{2}}}}}\dot{{2}}{p}+{10}{p}\)
\(\displaystyle={p}{\left({2}{e}^{{{p}^{{{2}}}}}+{10}\right)}\)
Rules used:
(1) Chain rule.
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