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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ (x) + {3}^{(\frac{(4)}{(x)})}\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x + {3}^{(\frac{4}{x})}\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( x + {3}^{(\frac{4}{x})}\right)}{dx}\\=&1 + ({3}^{(\frac{4}{x})}((\frac{4*-1}{x^{2}})ln(3) + \frac{(\frac{4}{x})(0)}{(3)}))\\=&\frac{-4 * {3}^{(\frac{4}{x})}ln(3)}{x^{2}} + 1\\ \end{split}\end{equation} \]





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