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

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