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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ 27{x}^{6}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 27x^{6}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 27x^{6}\right)}{dx}\\=&27*6x^{5}\\=&162x^{5}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 162x^{5}\right)}{dx}\\=&162*5x^{4}\\=&810x^{4}\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( 810x^{4}\right)}{dx}\\=&810*4x^{3}\\=&3240x^{3}\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( 3240x^{3}\right)}{dx}\\=&3240*3x^{2}\\=&9720x^{2}\\ \end{split}\end{equation} \]





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