There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (({x}^{2}c + 2xyd + \frac{{y}^{2}e}{({t}^{\frac{1}{2}}v(v + xa + yb))}))\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = cx^{2} + 2ydx + \frac{y^{2}e}{(v + ax + yb)t^{\frac{1}{2}}v}\\&\color{blue}{The\ first\ derivative\ function：}\\&\frac{d\left( cx^{2} + 2ydx + \frac{y^{2}e}{(v + ax + yb)t^{\frac{1}{2}}v}\right)}{dx}\\=&c*2x + 2yd + \frac{(\frac{-(0 + a + 0)}{(v + ax + yb)^{2}})y^{2}e}{t^{\frac{1}{2}}v} + \frac{y^{2}*0}{(v + ax + yb)t^{\frac{1}{2}}v}\\=&2cx + 2yd - \frac{y^{2}ae}{(v + ax + yb)^{2}t^{\frac{1}{2}}v}\\ \end{split}\end{equation} \]

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