There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ -{x}^{2} + 3x + 12(ln(x)) + 20 - 12(ln(3)) - x\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = -x^{2} + 2x + 12ln(x) - 12ln(3) + 20\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( -x^{2} + 2x + 12ln(x) - 12ln(3) + 20\right)}{dx}\\=&-2x + 2 + \frac{12}{(x)} - \frac{12*0}{(3)} + 0\\=&-2x + \frac{12}{x} + 2\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !