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.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ first\ derivative\ of\ function\ {x}^{2} + {2}^{x} - log_{2}^{x} + sin(\frac{π}{16})\ with\ respect\ to\ x:\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ &Primitive\ function\ = x^{2} + {2}^{x} - log_{2}^{x} + sin(\frac{1}{16}π)\\&\color{blue}{The\ first\ derivative\ function:}\\&\frac{d\left( x^{2} + {2}^{x} - log_{2}^{x} + sin(\frac{1}{16}π)\right)}{dx}\\=&2x + ({2}^{x}((1)ln(2) + \frac{(x)(0)}{(2)})) - (\frac{(\frac{(1)}{(x)} - \frac{(0)log_{2}^{x}}{(2)})}{(ln(2))}) + cos(\frac{1}{16}π)*0\\=& - \frac{1}{xln(2)} + {2}^{x}ln(2) + 2x\\ \end{split}\end{equation} \]





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