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 4 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ arcln(x)\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( arcln(x)\right)}{dx}\\=&\frac{arc}{(x)}\\=&\frac{arc}{x}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( \frac{arc}{x}\right)}{dx}\\=&\frac{arc*-1}{x^{2}}\\=&\frac{-arc}{x^{2}}\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( \frac{-arc}{x^{2}}\right)}{dx}\\=&\frac{-arc*-2}{x^{3}}\\=&\frac{2arc}{x^{3}}\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( \frac{2arc}{x^{3}}\right)}{dx}\\=&\frac{2arc*-3}{x^{4}}\\=&\frac{-6arc}{x^{4}}\\ \end{split}\end{equation} \]





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