There are 1 questions in this calculation: for each question, the 3 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ third\ derivative\ of\ function\ {(10x + 1)}^{4}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 10000x^{4} + 4000x^{3} + 600x^{2} + 40x + 1\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 10000x^{4} + 4000x^{3} + 600x^{2} + 40x + 1\right)}{dx}\\=&10000*4x^{3} + 4000*3x^{2} + 600*2x + 40 + 0\\=&40000x^{3} + 12000x^{2} + 1200x + 40\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 40000x^{3} + 12000x^{2} + 1200x + 40\right)}{dx}\\=&40000*3x^{2} + 12000*2x + 1200 + 0\\=&120000x^{2} + 24000x + 1200\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( 120000x^{2} + 24000x + 1200\right)}{dx}\\=&120000*2x + 24000 + 0\\=&240000x + 24000\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !