There are 2 questions in this calculation: for each question, the 4 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/2]Find\ the\ 4th\ derivative\ of\ function\ 3xxx\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 3x^{3}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 3x^{3}\right)}{dx}\\=&3*3x^{2}\\=&9x^{2}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 9x^{2}\right)}{dx}\\=&9*2x\\=&18x\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( 18x\right)}{dx}\\=&18\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( 18\right)}{dx}\\=&0\\ \end{split}\end{equation} \]\[ \begin{equation}\begin{split}[2/2]Find\ the\ 4th\ derivative\ of\ function\ 5xxxxx\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 5x^{5}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 5x^{5}\right)}{dx}\\=&5*5x^{4}\\=&25x^{4}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 25x^{4}\right)}{dx}\\=&25*4x^{3}\\=&100x^{3}\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( 100x^{3}\right)}{dx}\\=&100*3x^{2}\\=&300x^{2}\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( 300x^{2}\right)}{dx}\\=&300*2x\\=&600x\\ \end{split}\end{equation} \]Your problem has not been solved here? Please go to the Hot Problems section!