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

Your problem has not been solved here? Please take a look at the  hot problems ！