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 1 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (x - 1)(x - 2)(x - 3)(x - 4)(x - 5)(x - 6)(x - 7)\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x^{7} - 28x^{6} + 322x^{5} - 1960x^{4} + 6769x^{3} - 13132x^{2} + 13068x - 5040\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( x^{7} - 28x^{6} + 322x^{5} - 1960x^{4} + 6769x^{3} - 13132x^{2} + 13068x - 5040\right)}{dx}\\=&7x^{6} - 28*6x^{5} + 322*5x^{4} - 1960*4x^{3} + 6769*3x^{2} - 13132*2x + 13068 + 0\\=&7x^{6} - 168x^{5} + 1610x^{4} - 7840x^{3} + 20307x^{2} - 26264x + 13068\\ \end{split}\end{equation} \]





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