There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (-10{x}^{2} + 94x - 84)ln(3x - 2)\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = -10x^{2}ln(3x - 2) + 94xln(3x - 2) - 84ln(3x - 2)\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( -10x^{2}ln(3x - 2) + 94xln(3x - 2) - 84ln(3x - 2)\right)}{dx}\\=&-10*2xln(3x - 2) - \frac{10x^{2}(3 + 0)}{(3x - 2)} + 94ln(3x - 2) + \frac{94x(3 + 0)}{(3x - 2)} - \frac{84(3 + 0)}{(3x - 2)}\\=&-20xln(3x - 2) - \frac{30x^{2}}{(3x - 2)} + 94ln(3x - 2) + \frac{282x}{(3x - 2)} - \frac{252}{(3x - 2)}\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !