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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 2.22399{(-e^{-0.049}x + 1)}^{0.479} - e^{-0.049}x\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 2.22399(-xe^{-0.049} + 1)^{\frac{479}{1000}} - xe^{-0.049}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 2.22399(-xe^{-0.049} + 1)^{\frac{479}{1000}} - xe^{-0.049}\right)}{dx}\\=&2.22399(\frac{0.479(-e^{-0.049} - xe^{-0.049}*0 + 0)}{(-xe^{-0.049} + 1)^{\frac{521}{1000}}}) - e^{-0.049} - xe^{-0.049}*0\\=&\frac{-1.06529121e^{-0.049}}{(-xe^{-0.049} + 1)^{\frac{521}{1000}}} - e^{-0.049}\\ \end{split}\end{equation} \]





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