There are 1 questions in this calculation: for each question, the 1 derivative of n is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ ({n}^{2} - 9.4n + 50.09 - \frac{131.6}{n} + {(\frac{14}{n})}^{2})({n}^{2} - 9.4n + 50.09 - \frac{131.6}{n} + {(\frac{14}{n})}^{2})\ with\ respect\ to\ n:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = n^{4} - 9.4n^{3} - 131.6n - 9.4n^{3} - \frac{1842.4}{n} + 88.36n^{2} - 470.846n - 131.6n - \frac{25793.6}{n^{3}} - 470.846n - \frac{6591.844}{n} - \frac{1842.4}{n} - \frac{6591.844}{n} + \frac{17318.56}{n^{2}} - \frac{25793.6}{n^{3}} + \frac{38416}{n^{4}} + 50.09n^{2} + \frac{9817.64}{n^{2}} + 50.09n^{2} + \frac{9817.64}{n^{2}} + 5375.0881\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( n^{4} - 9.4n^{3} - 131.6n - 9.4n^{3} - \frac{1842.4}{n} + 88.36n^{2} - 470.846n - 131.6n - \frac{25793.6}{n^{3}} - 470.846n - \frac{6591.844}{n} - \frac{1842.4}{n} - \frac{6591.844}{n} + \frac{17318.56}{n^{2}} - \frac{25793.6}{n^{3}} + \frac{38416}{n^{4}} + 50.09n^{2} + \frac{9817.64}{n^{2}} + 50.09n^{2} + \frac{9817.64}{n^{2}} + 5375.0881\right)}{dn}\\=&4n^{3} - 9.4*3n^{2} - 131.6 - 9.4*3n^{2} - \frac{1842.4*-1}{n^{2}} + 88.36*2n - 470.846 - 131.6 - \frac{25793.6*-3}{n^{4}} - 470.846 - \frac{6591.844*-1}{n^{2}} - \frac{1842.4*-1}{n^{2}} - \frac{6591.844*-1}{n^{2}} + \frac{17318.56*-2}{n^{3}} - \frac{25793.6*-3}{n^{4}} + \frac{38416*-4}{n^{5}} + 50.09*2n + \frac{9817.64*-2}{n^{3}} + 50.09*2n + \frac{9817.64*-2}{n^{3}} + 0\\=&4n^{3} - 28.2n^{2} - 28.2n^{2} + \frac{1842.4}{n^{2}} + 176.72n + \frac{77380.8}{n^{4}} + \frac{6591.844}{n^{2}} + \frac{1842.4}{n^{2}} + \frac{6591.844}{n^{2}} - \frac{34637.12}{n^{3}} + \frac{77380.8}{n^{4}} - \frac{153664}{n^{5}} + 100.18n - \frac{19635.28}{n^{3}} + 100.18n - \frac{19635.28}{n^{3}} - 1204.892\\ \end{split}\end{equation} \]Your problem has not been solved here? Please go to the Hot Problems section!