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 5 derivative of x is calculated.
    Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 5th\ derivative\ of\ function\ (x - a)(x - b)(x - b)(x - c)(x - c)\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x^{5} - 2cx^{4} + c^{2}x^{3} - 2bx^{4} + 4bcx^{3} - 2bc^{2}x^{2} + b^{2}x^{3} - 2b^{2}cx^{2} + b^{2}c^{2}x - ax^{4} + 2acx^{3} - ac^{2}x^{2} + 2abx^{3} - 4abcx^{2} + 2abc^{2}x - ab^{2}x^{2} + 2ab^{2}cx - ab^{2}c^{2}\\\\ &\color{blue}{The\ 5th\ derivative\ of\ function:} \\=&120\\ \end{split}\end{equation} \]





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