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

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