There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ ({(3x + 1)}^{2})ln(3x)\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 9x^{2}ln(3x) + 6xln(3x) + ln(3x)\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 9x^{2}ln(3x) + 6xln(3x) + ln(3x)\right)}{dx}\\=&9*2xln(3x) + \frac{9x^{2}*3}{(3x)} + 6ln(3x) + \frac{6x*3}{(3x)} + \frac{3}{(3x)}\\=&18xln(3x) + 9x + 6ln(3x) + \frac{1}{x} + 6\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !