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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ x{(a - x)}^{3}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = a^{3}x - 3a^{2}x^{2} + 3ax^{3} - x^{4}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( a^{3}x - 3a^{2}x^{2} + 3ax^{3} - x^{4}\right)}{dx}\\=&a^{3} - 3a^{2}*2x + 3a*3x^{2} - 4x^{3}\\=& - 6a^{2}x + 9ax^{2} + a^{3} - 4x^{3}\\ \end{split}\end{equation} \]





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