There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (sin(x){\frac{1}{2}}^{2})cos(2)x + {2}^{x}\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{1}{4}xsin(x)cos(2) + {2}^{x}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( \frac{1}{4}xsin(x)cos(2) + {2}^{x}\right)}{dx}\\=&\frac{1}{4}sin(x)cos(2) + \frac{1}{4}xcos(x)cos(2) + \frac{1}{4}xsin(x)*-sin(2)*0 + ({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))\\=&\frac{sin(x)cos(2)}{4} + \frac{xcos(x)cos(2)}{4} + {2}^{x}ln(2)\\ \end{split}\end{equation} \]

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