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