There are 1 questions in this calculation: for each question, the 2 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ second\ derivative\ of\ function\ -2{x}^{3} + 30{x}^{2} - 162x + 7\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = -2x^{3} + 30x^{2} - 162x + 7\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( -2x^{3} + 30x^{2} - 162x + 7\right)}{dx}\\=&-2*3x^{2} + 30*2x - 162 + 0\\=&-6x^{2} + 60x - 162\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( -6x^{2} + 60x - 162\right)}{dx}\\=&-6*2x + 60 + 0\\=&-12x + 60\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !