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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 198.5e^{12.64 - \frac{4970}{x}} - 0.231x\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 198.5e^{\frac{-4970}{x} + 12.64} - 0.231x\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 198.5e^{\frac{-4970}{x} + 12.64} - 0.231x\right)}{dx}\\=&198.5e^{\frac{-4970}{x} + 12.64}(\frac{-4970*-1}{x^{2}} + 0) - 0.231\\=&\frac{986545e^{\frac{-4970}{x} + 12.64}}{x^{2}} - 0.231\\ \end{split}\end{equation} \]





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