There are 2 questions in this calculation: for each question, the 2 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/2]Find\ the\ second\ derivative\ of\ function\ 6xx\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 6x^{2}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 6x^{2}\right)}{dx}\\=&6*2x\\=&12x\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 12x\right)}{dx}\\=&12\\ \end{split}\end{equation} \]\[ \begin{equation}\begin{split}[2/2]Find\ the\ second\ derivative\ of\ function\ 8xxx\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 8x^{3}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 8x^{3}\right)}{dx}\\=&8*3x^{2}\\=&24x^{2}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 24x^{2}\right)}{dx}\\=&24*2x\\=&48x\\ \end{split}\end{equation} \]Your problem has not been solved here? Please go to the Hot Problems section!