There are 1 questions in this calculation: for each question, the 1 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{7}{5}e + 4{x}^{10} - \frac{13}{10}e + 6{x}^{9} + \frac{49}{10}e + 7{x}^{8} - \frac{11}{10}e + 9{x}^{7} + \frac{17}{10}e + 10{x}^{6} - \frac{17}{10}e + 11{x}^{5} + \frac{6}{5}e + 12{x}^{4} - \frac{59}{10}e + 12{x}^{3} + \frac{19}{10}e + 13{x}^{2} - \frac{7}{2}e + 13x + \frac{29}{10}e + 13\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{1}{2}e + 4x^{10} + 6x^{9} + 7x^{8} + 9x^{7} + 10x^{6} + 11x^{5} + 12x^{4} + 12x^{3} + 13x^{2} + 13x + 13\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{1}{2}e + 4x^{10} + 6x^{9} + 7x^{8} + 9x^{7} + 10x^{6} + 11x^{5} + 12x^{4} + 12x^{3} + 13x^{2} + 13x + 13\right)}{dx}\\=&\frac{1}{2}*0 + 4*10x^{9} + 6*9x^{8} + 7*8x^{7} + 9*7x^{6} + 10*6x^{5} + 11*5x^{4} + 12*4x^{3} + 12*3x^{2} + 13*2x + 13 + 0\\=&40x^{9} + 54x^{8} + 56x^{7} + 63x^{6} + 60x^{5} + 55x^{4} + 48x^{3} + 36x^{2} + 26x + 13\\ \end{split}\end{equation} \]Your problem has not been solved here? Please go to the Hot Problems section!