There are 1 questions in this calculation: for each question, the 4 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ -10.618{x}^{6} + 36.85{x}^{5} - 49.091{x}^{4} + 28.513{x}^{3} - 5.047{x}^{2} + 0.3879x + 0.0048\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = -10.618x^{6} + 36.85x^{5} - 49.091x^{4} + 28.513x^{3} - 5.047x^{2} + 0.3879x + 0.0048\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( -10.618x^{6} + 36.85x^{5} - 49.091x^{4} + 28.513x^{3} - 5.047x^{2} + 0.3879x + 0.0048\right)}{dx}\\=&-10.618*6x^{5} + 36.85*5x^{4} - 49.091*4x^{3} + 28.513*3x^{2} - 5.047*2x + 0.3879 + 0\\=&-63.708x^{5} + 184.25x^{4} - 196.364x^{3} + 85.539x^{2} - 10.094x + 0.3879\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( -63.708x^{5} + 184.25x^{4} - 196.364x^{3} + 85.539x^{2} - 10.094x + 0.3879\right)}{dx}\\=&-63.708*5x^{4} + 184.25*4x^{3} - 196.364*3x^{2} + 85.539*2x - 10.094 + 0\\=&-318.54x^{4} + 737x^{3} - 589.092x^{2} + 171.078x - 10.094\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( -318.54x^{4} + 737x^{3} - 589.092x^{2} + 171.078x - 10.094\right)}{dx}\\=&-318.54*4x^{3} + 737*3x^{2} - 589.092*2x + 171.078 + 0\\=&-1274.16x^{3} + 2211x^{2} - 1178.184x + 171.078\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( -1274.16x^{3} + 2211x^{2} - 1178.184x + 171.078\right)}{dx}\\=&-1274.16*3x^{2} + 2211*2x - 1178.184 + 0\\=&-3822.48x^{2} + 4422x - 1178.184\\ \end{split}\end{equation} \]Your problem has not been solved here? Please go to the Hot Problems section!