There are 1 questions in this calculation: for each question, the 3 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ third\ derivative\ of\ function\ -0.000009{x}^{4} + 0.0003{x}^{3} - 0.0036{x}^{2} + 0.0276x + 22.17\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = -0.000009x^{4} + 0.0003x^{3} - 0.0036x^{2} + 0.0276x + 22.17\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( -0.000009x^{4} + 0.0003x^{3} - 0.0036x^{2} + 0.0276x + 22.17\right)}{dx}\\=&-0.000009*4x^{3} + 0.0003*3x^{2} - 0.0036*2x + 0.0276 + 0\\=&-0.000036x^{3} + 0.0009x^{2} - 0.0072x + 0.0276\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( -0.000036x^{3} + 0.0009x^{2} - 0.0072x + 0.0276\right)}{dx}\\=&-0.000036*3x^{2} + 0.0009*2x - 0.0072 + 0\\=&-0.000108x^{2} + 0.0018x - 0.0072\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( -0.000108x^{2} + 0.0018x - 0.0072\right)}{dx}\\=&-0.000108*2x + 0.0018 + 0\\=&-0.000216x + 0.0018\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !