There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{{x}^{2}}{((0.1 - x)(0.15 - x))}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{x^{2}}{(-0.1x - 0.15x + x^{2} + 0.015)}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{x^{2}}{(-0.1x - 0.15x + x^{2} + 0.015)}\right)}{dx}\\=&(\frac{-(-0.1 - 0.15 + 2x + 0)}{(-0.1x - 0.15x + x^{2} + 0.015)^{2}})x^{2} + \frac{2x}{(-0.1x - 0.15x + x^{2} + 0.015)}\\=&\frac{-2x^{3}}{(-0.1x - 0.15x + x^{2} + 0.015)(-0.1x - 0.15x + x^{2} + 0.015)} + \frac{0.25x^{2}}{(-0.1x - 0.15x + x^{2} + 0.015)(-0.1x - 0.15x + x^{2} + 0.015)} + \frac{2x}{(-0.1x - 0.15x + x^{2} + 0.015)}\\ \end{split}\end{equation} \]

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