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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ (x - 1)(2 - x)(x - 3)(x - 4)\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = - x^{4} - 35x^{2} + 50x + 10x^{3} - 24\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( - x^{4} - 35x^{2} + 50x + 10x^{3} - 24\right)}{dx}\\=& - 4x^{3} - 35*2x + 50 + 10*3x^{2} + 0\\=& - 4x^{3} - 70x + 30x^{2} + 50\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( - 4x^{3} - 70x + 30x^{2} + 50\right)}{dx}\\=& - 4*3x^{2} - 70 + 30*2x + 0\\=& - 12x^{2} + 60x - 70\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( - 12x^{2} + 60x - 70\right)}{dx}\\=& - 12*2x + 60 + 0\\=& - 24x + 60\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( - 24x + 60\right)}{dx}\\=& - 24 + 0\\=& - 24\\ \end{split}\end{equation} \]





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