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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{((x + 15)*0.0045 + 1.05)}{(x*0.0045 + 1.05)} - 1\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{0.0045x}{(0.0045x + 1.05)} + \frac{0.0675}{(0.0045x + 1.05)} + \frac{1.05}{(0.0045x + 1.05)} - 1\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{0.0045x}{(0.0045x + 1.05)} + \frac{0.0675}{(0.0045x + 1.05)} + \frac{1.05}{(0.0045x + 1.05)} - 1\right)}{dx}\\=&0.0045(\frac{-(0.0045 + 0)}{(0.0045x + 1.05)^{2}})x + \frac{0.0045}{(0.0045x + 1.05)} + 0.0675(\frac{-(0.0045 + 0)}{(0.0045x + 1.05)^{2}}) + 1.05(\frac{-(0.0045 + 0)}{(0.0045x + 1.05)^{2}}) + 0\\=&\frac{-0.00002025x}{(0.0045x + 1.05)(0.0045x + 1.05)} - \frac{0.00030375}{(0.0045x + 1.05)(0.0045x + 1.05)} - \frac{0.004725}{(0.0045x + 1.05)(0.0045x + 1.05)} + \frac{0.0045}{(0.0045x + 1.05)}\\ \end{split}\end{equation} \]





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