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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {2}^{x}sec(x)ln(x)\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = {2}^{x}ln(x)sec(x)\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( {2}^{x}ln(x)sec(x)\right)}{dx}\\=&({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)}))ln(x)sec(x) + \frac{{2}^{x}sec(x)}{(x)} + {2}^{x}ln(x)sec(x)tan(x)\\=&{2}^{x}ln(2)ln(x)sec(x) + \frac{{2}^{x}sec(x)}{x} + {2}^{x}ln(x)tan(x)sec(x)\\ \end{split}\end{equation} \]





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