Mathematics
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current location:Derivative function > Derivative function calculation history > Answer
    There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ e^{1 - \frac{x}{2}} - e^{1 - x}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = e^{\frac{-1}{2}x + 1} - e^{-x + 1}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( e^{\frac{-1}{2}x + 1} - e^{-x + 1}\right)}{dx}\\=&e^{\frac{-1}{2}x + 1}(\frac{-1}{2} + 0) - e^{-x + 1}(-1 + 0)\\=&\frac{-e^{\frac{-1}{2}x + 1}}{2} + e^{-x + 1}\\ \end{split}\end{equation} \]





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