There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ sqrt(sx)coth(dsqrt(\frac{s}{x}))\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( sqrt(sx)coth(dsqrt(\frac{s}{x}))\right)}{dx}\\=&\frac{s*\frac{1}{2}coth(dsqrt(\frac{s}{x}))}{(sx)^{\frac{1}{2}}} + \frac{sqrt(sx)*-csch^{2}(dsqrt(\frac{s}{x}))ds*-\frac{1}{2}}{x^{2}(\frac{s}{x})^{\frac{1}{2}}}\\=&\frac{s^{\frac{1}{2}}coth(dsqrt(\frac{s}{x}))}{2x^{\frac{1}{2}}} + \frac{s^{\frac{1}{2}}dsqrt(sx)csch^{2}(dsqrt(\frac{s}{x}))}{2x^{\frac{3}{2}}}\\ \end{split}\end{equation} \]

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