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