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

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