Question

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

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

$$\displaystyle{D}'{\left({p}\right)}=^{{{1}}}{e}^{{{p}^{{{2}}}}}\dot{{{p}^{{{2}}}}}'+{5}\dot{{2}}{p}$$
$$\displaystyle={e}^{{{p}^{{{2}}}}}\dot{{2}}{p}+{10}{p}$$
$$\displaystyle={p}{\left({2}{e}^{{{p}^{{{2}}}}}+{10}\right)}$$