There are 1 questions in this calculation: for each question, the 2 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ second\ derivative\ of\ function\ (sin(x))sin(x)ln(x)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = ln(x)sin^{2}(x)\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( ln(x)sin^{2}(x)\right)}{dx}\\=&\frac{sin^{2}(x)}{(x)} + ln(x)*2sin(x)cos(x)\\=&\frac{sin^{2}(x)}{x} + 2ln(x)sin(x)cos(x)\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( \frac{sin^{2}(x)}{x} + 2ln(x)sin(x)cos(x)\right)}{dx}\\=&\frac{-sin^{2}(x)}{x^{2}} + \frac{2sin(x)cos(x)}{x} + \frac{2sin(x)cos(x)}{(x)} + 2ln(x)cos(x)cos(x) + 2ln(x)sin(x)*-sin(x)\\=&\frac{4sin(x)cos(x)}{x} - \frac{sin^{2}(x)}{x^{2}} + 2ln(x)cos^{2}(x) - 2ln(x)sin^{2}(x)\\ \end{split}\end{equation} \]

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