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





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