There are 1 questions in this calculation: for each question, the 2 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ second\ derivative\ of\ function\ 72({\frac{1}{e}}^{x})\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 72{\frac{1}{e}}^{x}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 72{\frac{1}{e}}^{x}\right)}{dx}\\=&72({\frac{1}{e}}^{x}((1)ln(\frac{1}{e}) + \frac{(x)(\frac{-0}{e^{2}})}{(\frac{1}{e})}))\\=&-72{\frac{1}{e}}^{x}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( -72{\frac{1}{e}}^{x}\right)}{dx}\\=&-72({\frac{1}{e}}^{x}((1)ln(\frac{1}{e}) + \frac{(x)(\frac{-0}{e^{2}})}{(\frac{1}{e})}))\\=&72{\frac{1}{e}}^{x}\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !