There are 1 questions in this calculation: for each question, the 3 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ third\ derivative\ of\ function\ {(x - 3)}^{4}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x^{4} - 12x^{3} + 54x^{2} - 108x + 81\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( x^{4} - 12x^{3} + 54x^{2} - 108x + 81\right)}{dx}\\=&4x^{3} - 12*3x^{2} + 54*2x - 108 + 0\\=&4x^{3} - 36x^{2} + 108x - 108\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 4x^{3} - 36x^{2} + 108x - 108\right)}{dx}\\=&4*3x^{2} - 36*2x + 108 + 0\\=&12x^{2} - 72x + 108\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( 12x^{2} - 72x + 108\right)}{dx}\\=&12*2x - 72 + 0\\=&24x - 72\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !