Mathematics
语言:中文
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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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ sec(x)tan(x) + ln(sec(x) + tan(x))\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = tan(x)sec(x) + ln(sec(x) + tan(x))\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( tan(x)sec(x) + ln(sec(x) + tan(x))\right)}{dx}\\=&sec^{2}(x)(1)sec(x) + tan(x)sec(x)tan(x) + \frac{(sec(x)tan(x) + sec^{2}(x)(1))}{(sec(x) + tan(x))}\\=&sec^{3}(x) + tan^{2}(x)sec(x) + \frac{tan(x)sec(x)}{(sec(x) + tan(x))} + \frac{sec^{2}(x)}{(sec(x) + tan(x))}\\ \end{split}\end{equation} \]





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