There are 1 questions in this calculation: for each question, the 3 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ third\ derivative\ of\ function\ (-4{x}^{4} - 8{x}^{3} + 578{x}^{2} + 1734x + 1293.75)\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = -4x^{4} - 8x^{3} + 578x^{2} + 1734x + 1293.75\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( -4x^{4} - 8x^{3} + 578x^{2} + 1734x + 1293.75\right)}{dx}\\=&-4*4x^{3} - 8*3x^{2} + 578*2x + 1734 + 0\\=&-16x^{3} - 24x^{2} + 1156x + 1734\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( -16x^{3} - 24x^{2} + 1156x + 1734\right)}{dx}\\=&-16*3x^{2} - 24*2x + 1156 + 0\\=&-48x^{2} - 48x + 1156\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( -48x^{2} - 48x + 1156\right)}{dx}\\=&-48*2x - 48 + 0\\=&-96x - 48\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !