Mathematics
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current location:Derivative function > Derivative function calculation history > Answer
    There are 1 questions in this calculation: for each question, the 2 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ second\ derivative\ of\ function\ \frac{{({x}^{2})}^{1}}{3} - \frac{2{x}^{3}}{5} - 7\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{1}{3}x^{2} - \frac{2}{5}x^{3} - 7\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{1}{3}x^{2} - \frac{2}{5}x^{3} - 7\right)}{dx}\\=&\frac{1}{3}*2x - \frac{2}{5}*3x^{2} + 0\\=&\frac{2x}{3} - \frac{6x^{2}}{5}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( \frac{2x}{3} - \frac{6x^{2}}{5}\right)}{dx}\\=&\frac{2}{3} - \frac{6*2x}{5}\\=& - \frac{12x}{5} + \frac{2}{3}\\ \end{split}\end{equation} \]





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