There are 2 questions in this calculation: for each question, the 4 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/2]Find\ the\ 4th\ derivative\ of\ function\ xxxx\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x^{4}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( x^{4}\right)}{dx}\\=&4x^{3}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 4x^{3}\right)}{dx}\\=&4*3x^{2}\\=&12x^{2}\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( 12x^{2}\right)}{dx}\\=&12*2x\\=&24x\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( 24x\right)}{dx}\\=&24\\ \end{split}\end{equation} \]\[ \begin{equation}\begin{split}[2/2]Find\ the\ 4th\ derivative\ of\ function\ xxxxxxxxxx\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x^{10}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( x^{10}\right)}{dx}\\=&10x^{9}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 10x^{9}\right)}{dx}\\=&10*9x^{8}\\=&90x^{8}\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( 90x^{8}\right)}{dx}\\=&90*8x^{7}\\=&720x^{7}\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( 720x^{7}\right)}{dx}\\=&720*7x^{6}\\=&5040x^{6}\\ \end{split}\end{equation} \]Your problem has not been solved here? Please go to the Hot Problems section!