There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 2.9547ln(x) - 0.3426{(ln(x))}^{2} + 0.0148{(ln(x))}^{3}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 0.0148ln(x)ln(x)ln(x) - 0.3426ln(x)ln(x) + 2.9547ln(x)\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 0.0148ln(x)ln(x)ln(x) - 0.3426ln(x)ln(x) + 2.9547ln(x)\right)}{dx}\\=&\frac{0.0148ln(x)ln(x)}{(x)} + \frac{0.0148ln(x)ln(x)}{(x)} + \frac{0.0148ln(x)ln(x)}{(x)} - \frac{0.3426ln(x)}{(x)} - \frac{0.3426ln(x)}{(x)} + \frac{2.9547}{(x)}\\=&\frac{0.0148ln(x)ln(x)}{x} + \frac{0.0148ln(x)ln(x)}{x} + \frac{0.0148ln(x)ln(x)}{x} - \frac{0.3426ln(x)}{x} - \frac{0.3426ln(x)}{x} + \frac{2.9547}{x}\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !