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

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