There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {((2x - a){(a - x)}^{2})}^{\frac{1}{3}}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = (4a^{2}x - 5ax^{2} + 2x^{3} - a^{3})^{\frac{1}{3}}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( (4a^{2}x - 5ax^{2} + 2x^{3} - a^{3})^{\frac{1}{3}}\right)}{dx}\\=&(\frac{\frac{1}{3}(4a^{2} - 5a*2x + 2*3x^{2} + 0)}{(4a^{2}x - 5ax^{2} + 2x^{3} - a^{3})^{\frac{2}{3}}})\\=& - \frac{10ax}{3(4a^{2}x - 5ax^{2} + 2x^{3} - a^{3})^{\frac{2}{3}}} + \frac{4a^{2}}{3(4a^{2}x - 5ax^{2} + 2x^{3} - a^{3})^{\frac{2}{3}}} + \frac{2x^{2}}{(4a^{2}x - 5ax^{2} + 2x^{3} - a^{3})^{\frac{2}{3}}}\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !