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

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