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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {x}^{2}x{{x}^{x}}^{x}{x}^{3} + {x}^{4}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x^{6}{{x}^{x}}^{x} + x^{4}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( x^{6}{{x}^{x}}^{x} + x^{4}\right)}{dx}\\=&6x^{5}{{x}^{x}}^{x} + x^{6}({{x}^{x}}^{x}((1)ln({x}^{x}) + \frac{(x)(({x}^{x}((1)ln(x) + \frac{(x)(1)}{(x)})))}{({x}^{x})})) + 4x^{3}\\=&x^{6}{{x}^{x}}^{x}ln({x}^{x}) + x^{7}{{x}^{x}}^{x}ln(x) + 6x^{5}{{x}^{x}}^{x} + x^{7}{{x}^{x}}^{x} + 4x^{3}\\ \end{split}\end{equation} \]





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