There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{(x - 2)(x - 3)(x - 4)(x - 5)}{24} - \frac{(x - 1)(x - 3)(x - 4)(x - 5)}{6} + \frac{(x - 1)(x - 2)(x - 4)(x - 5)}{12} - \frac{(x - 1)(x - 2)(x - 3)(x - 5)}{24} + \frac{(x - 1)(x - 2)(x - 3)(x - 4)}{144}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{1}{150}x^{4} + \frac{35}{36}x^{3} - \frac{613}{144}x^{2} + \frac{64}{9}x - \frac{11}{4}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{1}{150}x^{4} + \frac{35}{36}x^{3} - \frac{613}{144}x^{2} + \frac{64}{9}x - \frac{11}{4}\right)}{dx}\\=&\frac{1}{150}*4x^{3} + \frac{35}{36}*3x^{2} - \frac{613}{144}*2x + \frac{64}{9} + 0\\=&\frac{2x^{3}}{75} + \frac{35x^{2}}{12} - \frac{613x}{72} + \frac{64}{9}\\ \end{split}\end{equation} \]Your problem has not been solved here? Please go to the Hot Problems section!