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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {x}^{(\frac{1222222222}{x})} + \frac{7575755775}{x} + {x}^{22}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = {x}^{(\frac{1222222222}{x})} + \frac{7575755775}{x} + x^{22}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( {x}^{(\frac{1222222222}{x})} + \frac{7575755775}{x} + x^{22}\right)}{dx}\\=&({x}^{(\frac{1222222222}{x})}((\frac{1222222222*-1}{x^{2}})ln(x) + \frac{(\frac{1222222222}{x})(1)}{(x)})) + \frac{7575755775*-1}{x^{2}} + 22x^{21}\\=&\frac{-1222222222{x}^{(\frac{1222222222}{x})}ln(x)}{x^{2}} + \frac{1222222222{x}^{(\frac{1222222222}{x})}}{x^{2}} - \frac{7575755775}{x^{2}} + 22x^{21}\\ \end{split}\end{equation} \]





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