There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {x}^{10} + {10}^{x} + lg(x)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x^{10} + {10}^{x} + lg(x)\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( x^{10} + {10}^{x} + lg(x)\right)}{dx}\\=&10x^{9} + ({10}^{x}((1)ln(10) + \frac{(x)(0)}{(10)})) + \frac{1}{ln{10}(x)}\\=&\frac{1}{xln{10}} + {10}^{x}ln(10) + 10x^{9}\\ \end{split}\end{equation} \]

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