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 3 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ third\ derivative\ of\ function\ 4{x}^{5} - 7{x}^{4} + 6{x}^{2} - 7x + 1\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 4x^{5} - 7x^{4} + 6x^{2} - 7x + 1\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 4x^{5} - 7x^{4} + 6x^{2} - 7x + 1\right)}{dx}\\=&4*5x^{4} - 7*4x^{3} + 6*2x - 7 + 0\\=&20x^{4} - 28x^{3} + 12x - 7\\\\ &\color{blue}{The\ second\ derivative\ of\ function:} \\&\frac{d\left( 20x^{4} - 28x^{3} + 12x - 7\right)}{dx}\\=&20*4x^{3} - 28*3x^{2} + 12 + 0\\=&80x^{3} - 84x^{2} + 12\\\\ &\color{blue}{The\ third\ derivative\ of\ function:} \\&\frac{d\left( 80x^{3} - 84x^{2} + 12\right)}{dx}\\=&80*3x^{2} - 84*2x + 0\\=&240x^{2} - 168x\\ \end{split}\end{equation} \]





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