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

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