There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ sin(x)cos(x) + tan(ln(x)) + xsec(x) + lg(x)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( sin(x)cos(x) + tan(ln(x)) + xsec(x) + lg(x)\right)}{dx}\\=&cos(x)cos(x) + sin(x)*-sin(x) + sec^{2}(ln(x))(\frac{1}{(x)}) + sec(x) + xsec(x)tan(x) + \frac{1}{ln{10}(x)}\\=&cos^{2}(x) - sin^{2}(x) + \frac{sec^{2}(ln(x))}{x} + sec(x) + xtan(x)sec(x) + \frac{1}{xln{10}}\\ \end{split}\end{equation} \]

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