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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (\frac{1}{5}){x}^{5} - (\frac{3}{2}){x}^{4} + (\frac{11}{3}){x}^{3} - 3{x}^{3}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = \frac{1}{5}x^{5} - \frac{3}{2}x^{4} + \frac{2}{3}x^{3}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( \frac{1}{5}x^{5} - \frac{3}{2}x^{4} + \frac{2}{3}x^{3}\right)}{dx}\\=&\frac{1}{5}*5x^{4} - \frac{3}{2}*4x^{3} + \frac{2}{3}*3x^{2}\\=&x^{4} - 6x^{3} + 2x^{2}\\ \end{split}\end{equation} \]





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