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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ {x}^{100}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x^{100}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( x^{100}\right)}{dx}\\=&100x^{99}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 100x^{99}\right)}{dx}\\=&100*99x^{98}\\=&9900x^{98}\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( 9900x^{98}\right)}{dx}\\=&9900*98x^{97}\\=&970200x^{97}\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( 970200x^{97}\right)}{dx}\\=&970200*97x^{96}\\=&94109400x^{96}\\ \end{split}\end{equation} \]





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