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