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

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