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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ \frac{2(\frac{{(x - 1)}^{1}}{3})(x - 2)(4x - 5)}{3}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{8}{9}x^{3} - \frac{34}{9}x^{2} + \frac{46}{9}x - \frac{20}{9}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{8}{9}x^{3} - \frac{34}{9}x^{2} + \frac{46}{9}x - \frac{20}{9}\right)}{dx}\\=&\frac{8}{9}*3x^{2} - \frac{34}{9}*2x + \frac{46}{9} + 0\\=&\frac{8x^{2}}{3} - \frac{68x}{9} + \frac{46}{9}\\ \end{split}\end{equation} \]





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