There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{xg}{(2pr(1.007 - 1.479(r{\frac{1}{(\frac{x}{o})}}^{\frac{1}{3}}) + 1.892({r}^{2}{\frac{1}{(\frac{x}{o})}}^{(\frac{2}{3})})))}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{gx}{(\frac{-2.958pr^{2}o}{x} + \frac{3.784pr^{2}o}{x} + 2.014pr)}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{gx}{(\frac{-2.958pr^{2}o}{x} + \frac{3.784pr^{2}o}{x} + 2.014pr)}\right)}{dx}\\=&(\frac{-(\frac{-2.958pr^{2}o*-1}{x^{2}} + \frac{3.784pr^{2}o*-1}{x^{2}} + 0)}{(\frac{-2.958pr^{2}o}{x} + \frac{3.784pr^{2}o}{x} + 2.014pr)^{2}})gx + \frac{g}{(\frac{-2.958pr^{2}o}{x} + \frac{3.784pr^{2}o}{x} + 2.014pr)}\\=&\frac{-2.958gpr^{2}o}{(\frac{-2.958pr^{2}o}{x} + \frac{3.784pr^{2}o}{x} + 2.014pr)(\frac{-2.958pr^{2}o}{x} + \frac{3.784pr^{2}o}{x} + 2.014pr)x} + \frac{3.784gpr^{2}o}{(\frac{-2.958pr^{2}o}{x} + \frac{3.784pr^{2}o}{x} + 2.014pr)(\frac{-2.958pr^{2}o}{x} + \frac{3.784pr^{2}o}{x} + 2.014pr)x} + \frac{g}{(\frac{-2.958pr^{2}o}{x} + \frac{3.784pr^{2}o}{x} + 2.014pr)}\\ \end{split}\end{equation} \]Your problem has not been solved here? Please go to the Hot Problems section!