There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ lg(10)(x) - (1 + (\frac{(1)}{(x)}))lo*10(1 + x)\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = xlg(10) - \frac{10lo}{x} - 10lox - 20lo\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( xlg(10) - \frac{10lo}{x} - 10lox - 20lo\right)}{dx}\\=&lg(10) + \frac{x*0}{ln{10}(10)} - \frac{10lo*-1}{x^{2}} - 10lo + 0\\=&lg(10) + \frac{10lo}{x^{2}} - 10lo\\ \end{split}\end{equation} \]

Your problem has not been solved here? Please take a look at the  hot problems ！