Question

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

Composite functions
$$\displaystyle{f{{\left({z}\right)}}}={\left({2}{z}+{e}^{{-{z}^{{{2}}}}}\right)}^{{{2}}}$$
$$\displaystyle{f}'{\left({z}\right)}={8}{z}-{8}{z}^{{{2}}}{e}^{{-{z}^{{{2}}}}}+{4}{e}^{{-{z}^{{{2}}}}}-{4}{z}{e}^{{-{2}{z}^{{{2}}}}}$$