There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{112*0.82944}{(0.00031597 + 7.579ln(2x + 10.3) - 7.579*2.332 + \frac{0.2449}{(2x + 10.3)})} + 816.81x(10.3 + 2x)\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{92.89728}{(7.579ln(2x + 10.3) + \frac{0.2449}{(2x + 10.3)} - 17.67391203)} + 8413.143x + 1633.62x^{2}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{92.89728}{(7.579ln(2x + 10.3) + \frac{0.2449}{(2x + 10.3)} - 17.67391203)} + 8413.143x + 1633.62x^{2}\right)}{dx}\\=&92.89728(\frac{-(\frac{7.579(2 + 0)}{(2x + 10.3)} + 0.2449(\frac{-(2 + 0)}{(2x + 10.3)^{2}}) + 0)}{(7.579ln(2x + 10.3) + \frac{0.2449}{(2x + 10.3)} - 17.67391203)^{2}}) + 8413.143 + 1633.62*2x\\=&\frac{45.501087744}{(7.579ln(2x + 10.3) + \frac{0.2449}{(2x + 10.3)} - 17.67391203)(7.579ln(2x + 10.3) + \frac{0.2449}{(2x + 10.3)} - 17.67391203)(2x + 10.3)(2x + 10.3)} - \frac{1408.13697024}{(7.579ln(2x + 10.3) + \frac{0.2449}{(2x + 10.3)} - 17.67391203)(7.579ln(2x + 10.3) + \frac{0.2449}{(2x + 10.3)} - 17.67391203)(2x + 10.3)} + 3267.24x + 8413.143\\ \end{split}\end{equation} \]Your problem has not been solved here? Please go to the Hot Problems section!