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





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