There are 1 questions in this calculation: for each question, the 2 derivative of x is calculated.
Note that variables are case sensitive.\[ \begin{equation}\begin{split}[1/1]Find\ the\ second\ derivative\ of\ function\ (\frac{3}{4}){(({x}^{2} - 1))}^{(\frac{2}{3})}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]
\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{3}{4}(x^{2} - 1)^{\frac{2}{3}}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{3}{4}(x^{2} - 1)^{\frac{2}{3}}\right)}{dx}\\=&\frac{3}{4}(\frac{\frac{2}{3}(2x + 0)}{(x^{2} - 1)^{\frac{1}{3}}})\\=&\frac{x}{(x^{2} - 1)^{\frac{1}{3}}}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( \frac{x}{(x^{2} - 1)^{\frac{1}{3}}}\right)}{dx}\\=&(\frac{\frac{-1}{3}(2x + 0)}{(x^{2} - 1)^{\frac{4}{3}}})x + \frac{1}{(x^{2} - 1)^{\frac{1}{3}}}\\=&\frac{-2x^{2}}{3(x^{2} - 1)^{\frac{4}{3}}} + \frac{1}{(x^{2} - 1)^{\frac{1}{3}}}\\ \end{split}\end{equation} \]Your problem has not been solved here? Please take a look at the hot problems !