Question

Find derivatives of the functions defined as follows. f(z)=(2z+e^{-z^{2}})^{2}

Composite functions
ANSWERED
asked 2021-06-21
Find derivatives of the functions defined as follows.
\(\displaystyle{f{{\left({z}\right)}}}={\left({2}{z}+{e}^{{-{z}^{{{2}}}}}\right)}^{{{2}}}\)

Answers (1)

2021-06-22
\(\displaystyle{f}'{\left({z}\right)}={8}{z}-{8}{z}^{{{2}}}{e}^{{-{z}^{{{2}}}}}+{4}{e}^{{-{z}^{{{2}}}}}-{4}{z}{e}^{{-{2}{z}^{{{2}}}}}\)
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