There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (\frac{{x}^{3}}{5}){(x - 3)}^{3}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{1}{5}x^{6} - \frac{9}{5}x^{5} + \frac{27}{5}x^{4} - \frac{27}{5}x^{3}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{1}{5}x^{6} - \frac{9}{5}x^{5} + \frac{27}{5}x^{4} - \frac{27}{5}x^{3}\right)}{dx}\\=&\frac{1}{5}*6x^{5} - \frac{9}{5}*5x^{4} + \frac{27}{5}*4x^{3} - \frac{27}{5}*3x^{2}\\=&\frac{6x^{5}}{5} - 9x^{4} + \frac{108x^{3}}{5} - \frac{81x^{2}}{5}\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !