Mathematics
语言:中文
Language:English

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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ second\ derivative\ of\ function\ \frac{(4{x}^{2} - 1)}{({x}^{3})}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{4}{x} - \frac{1}{x^{3}}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{4}{x} - \frac{1}{x^{3}}\right)}{dx}\\=&\frac{4*-1}{x^{2}} - \frac{-3}{x^{4}}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( \frac{-4}{x^{2}} + \frac{3}{x^{4}}\right)}{dx}\\=&\frac{-4*-2}{x^{3}} + \frac{3*-4}{x^{5}}\\=&\frac{8}{x^{3}} - \frac{12}{x^{5}}\\ \end{split}\end{equation} \]





Your problem has not been solved here? Please take a look at the  hot problems !


Return