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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{(-2x + 0.2)}{(x + 0.05)}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{-2x}{(x + 0.05)} + \frac{0.2}{(x + 0.05)}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{-2x}{(x + 0.05)} + \frac{0.2}{(x + 0.05)}\right)}{dx}\\=&-2(\frac{-(1 + 0)}{(x + 0.05)^{2}})x - \frac{2}{(x + 0.05)} + 0.2(\frac{-(1 + 0)}{(x + 0.05)^{2}})\\=&\frac{2x}{(x + 0.05)(x + 0.05)} - \frac{0.2}{(x + 0.05)(x + 0.05)} - \frac{2}{(x + 0.05)}\\ \end{split}\end{equation} \]





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