There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{(-7sin(x) - 4)}{(6{x}^{3} - 4)}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{-7sin(x)}{(6x^{3} - 4)} - \frac{4}{(6x^{3} - 4)}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{-7sin(x)}{(6x^{3} - 4)} - \frac{4}{(6x^{3} - 4)}\right)}{dx}\\=&-7(\frac{-(6*3x^{2} + 0)}{(6x^{3} - 4)^{2}})sin(x) - \frac{7cos(x)}{(6x^{3} - 4)} - 4(\frac{-(6*3x^{2} + 0)}{(6x^{3} - 4)^{2}})\\=&\frac{126x^{2}sin(x)}{(6x^{3} - 4)^{2}} - \frac{7cos(x)}{(6x^{3} - 4)} + \frac{72x^{2}}{(6x^{3} - 4)^{2}}\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !