There are 1 questions in this calculation: for each question, the 1 derivative of t is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {(2 + tan(t))}^{\frac{1}{4}}\ with\ respect\ to\ t：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = (tan(t) + 2)^{\frac{1}{4}}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( (tan(t) + 2)^{\frac{1}{4}}\right)}{dt}\\=&(\frac{\frac{1}{4}(sec^{2}(t)(1) + 0)}{(tan(t) + 2)^{\frac{3}{4}}})\\=&\frac{sec^{2}(t)}{4(tan(t) + 2)^{\frac{3}{4}}}\\ \end{split}\end{equation} \]

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