There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{sqrt(7x - 9{x}^{2})}{(7x - {9}^{2})}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{sqrt(7x - 9x^{2})}{(7x - 81)}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{sqrt(7x - 9x^{2})}{(7x - 81)}\right)}{dx}\\=&(\frac{-(7 + 0)}{(7x - 81)^{2}})sqrt(7x - 9x^{2}) + \frac{(7 - 9*2x)*\frac{1}{2}}{(7x - 81)(7x - 9x^{2})^{\frac{1}{2}}}\\=&\frac{-7sqrt(7x - 9x^{2})}{(7x - 81)^{2}} - \frac{9x}{(7x - 81)(7x - 9x^{2})^{\frac{1}{2}}} + \frac{7}{2(7x - 81)(7x - 9x^{2})^{\frac{1}{2}}}\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !