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

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