There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 2xsqrt(5x - {x}^{2})\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 2xsqrt(5x - x^{2})\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 2xsqrt(5x - x^{2})\right)}{dx}\\=&2sqrt(5x - x^{2}) + \frac{2x(5 - 2x)*\frac{1}{2}}{(5x - x^{2})^{\frac{1}{2}}}\\=&2sqrt(5x - x^{2}) + \frac{5x}{(5x - x^{2})^{\frac{1}{2}}} - \frac{2x^{2}}{(5x - x^{2})^{\frac{1}{2}}}\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !