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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {(1 - e^{\frac{-1}{x}})}^{2}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = e^{{\frac{-1}{x}}*{2}} - 2e^{\frac{-1}{x}} + 1\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( e^{{\frac{-1}{x}}*{2}} - 2e^{\frac{-1}{x}} + 1\right)}{dx}\\=&\frac{2e^{\frac{-1}{x}}e^{\frac{-1}{x}}*--1}{x^{2}} - \frac{2e^{\frac{-1}{x}}*--1}{x^{2}} + 0\\=&\frac{2e^{{\frac{-1}{x}}*{2}}}{x^{2}} - \frac{2e^{\frac{-1}{x}}}{x^{2}}\\ \end{split}\end{equation} \]





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