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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {x}^{\frac{1}{10}}(1 - x) + x(1 - {x}^{\frac{1}{10}})\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = - 2x^{\frac{11}{10}} + x + x^{\frac{1}{10}}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( - 2x^{\frac{11}{10}} + x + x^{\frac{1}{10}}\right)}{dx}\\=& - 2*\frac{11}{10}x^{\frac{1}{10}} + 1 + \frac{\frac{1}{10}}{x^{\frac{9}{10}}}\\=& - \frac{11x^{\frac{1}{10}}}{5} + \frac{1}{10x^{\frac{9}{10}}} + 1\\ \end{split}\end{equation} \]





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