There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 5{x}^{3} - {2}^{x}tan(x) + ln(3)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 5x^{3} - {2}^{x}tan(x) + ln(3)\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( 5x^{3} - {2}^{x}tan(x) + ln(3)\right)}{dx}\\=&5*3x^{2} - ({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))tan(x) - {2}^{x}sec^{2}(x)(1) + \frac{0}{(3)}\\=&15x^{2} - {2}^{x}ln(2)tan(x) - {2}^{x}sec^{2}(x)\\ \end{split}\end{equation} \]

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