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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 4th\ derivative\ of\ function\ 0.0927{x}^{4} - 1.9642{x}^{3} + 11.165{x}^{2} - 9.6448x + 53.169\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 0.0927x^{4} - 1.9642x^{3} + 11.165x^{2} - 9.6448x + 53.169\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 0.0927x^{4} - 1.9642x^{3} + 11.165x^{2} - 9.6448x + 53.169\right)}{dx}\\=&0.0927*4x^{3} - 1.9642*3x^{2} + 11.165*2x - 9.6448 + 0\\=&0.3708x^{3} - 5.8926x^{2} + 22.33x - 9.6448\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 0.3708x^{3} - 5.8926x^{2} + 22.33x - 9.6448\right)}{dx}\\=&0.3708*3x^{2} - 5.8926*2x + 22.33 + 0\\=&1.1124x^{2} - 11.7852x + 22.33\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( 1.1124x^{2} - 11.7852x + 22.33\right)}{dx}\\=&1.1124*2x - 11.7852 + 0\\=&2.2248x - 11.7852\\\\ &\color{blue}{The\ 4th\ derivative\ of\ function:} \\&\frac{d\left( 2.2248x - 11.7852\right)}{dx}\\=&2.2248 + 0\\=&2.2248\\ \end{split}\end{equation} \]





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