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find-d-dx-2-x-




Question Number 11548 by Nayon last updated on 28/Mar/17
  find (d/dx)(2^x )
$$ \\ $$$${find}\:\frac{{d}}{{dx}}\left(\mathrm{2}^{{x}} \right) \\ $$
Answered by sma3l2996 last updated on 28/Mar/17
=((d(e^(xln(2)) ))/dx)=ln(2)e^(xln(2)) =ln(2)2^x
$$=\frac{{d}\left({e}^{{xln}\left(\mathrm{2}\right)} \right)}{{dx}}={ln}\left(\mathrm{2}\right){e}^{{xln}\left(\mathrm{2}\right)} ={ln}\left(\mathrm{2}\right)\mathrm{2}^{{x}} \\ $$

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