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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ {x}^{4} - 2{x}^{3}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x^{4} - 2x^{3}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( x^{4} - 2x^{3}\right)}{dx}\\=&4x^{3} - 2*3x^{2}\\=&4x^{3} - 6x^{2}\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 4x^{3} - 6x^{2}\right)}{dx}\\=&4*3x^{2} - 6*2x\\=&12x^{2} - 12x\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( 12x^{2} - 12x\right)}{dx}\\=&12*2x - 12\\=&24x - 12\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( 24x - 12\right)}{dx}\\=&24 + 0\\=&24\\ \end{split}\end{equation} \]





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