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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ 3(p - q){x}^{2} + 6(q - m)(1 - x)x + 3(m - n){(1 - x)}^{2}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = 3px^{2} - 9qx^{2} + 6qx - 12mx + 9mx^{2} + 3m - 3nx^{2} + 6nx - 3n\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( 3px^{2} - 9qx^{2} + 6qx - 12mx + 9mx^{2} + 3m - 3nx^{2} + 6nx - 3n\right)}{dx}\\=&3p*2x - 9q*2x + 6q - 12m + 9m*2x + 0 - 3n*2x + 6n + 0\\=&6px - 18qx + 6q + 18mx - 12m - 6nx + 6n\\ \end{split}\end{equation} \]





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