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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ \frac{{x}^{5}}{120}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{1}{120}x^{5}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{1}{120}x^{5}\right)}{dx}\\=&\frac{1}{120}*5x^{4}\\=&\frac{x^{4}}{24}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( \frac{x^{4}}{24}\right)}{dx}\\=&\frac{4x^{3}}{24}\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( \frac{1}{6}x^{3}\right)}{dx}\\=&\frac{1}{6}*3x^{2}\\=&\frac{x^{2}}{2}\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( \frac{x^{2}}{2}\right)}{dx}\\=&\frac{2x}{2}\\ \end{split}\end{equation} \]





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