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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ {(x + 1)}^{10}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = (x + 1)^{10}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( (x + 1)^{10}\right)}{dx}\\=&(10(x + 1)^{9}(1 + 0))\\=&10(x + 1)^{9}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 10(x + 1)^{9}\right)}{dx}\\=&10(9(x + 1)^{8}(1 + 0))\\=&90(x + 1)^{8}\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( 90(x + 1)^{8}\right)}{dx}\\=&90(8(x + 1)^{7}(1 + 0))\\=&720(x + 1)^{7}\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( 720(x + 1)^{7}\right)}{dx}\\=&720(7(x + 1)^{6}(1 + 0))\\=&5040(x + 1)^{6}\\ \end{split}\end{equation} \]





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