Hva er ddxex\displaystyle \frac{d}{dx}e^xdxdex og ddxlnx\displaystyle \frac{d}{dx}\ln xdxdlnx?
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$ddxex=ex,ddxlnx=1x\displaystyle \frac{d}{dx}e^x=e^x,\qquad \frac{d}{dx}\ln x=\frac{1}{x}dxdex=ex,dxdlnx=x1e^xersinegenderiverte.er sin egen deriverte.ersinegenderiverte.\ln xerdefinertforer definert forerdefinertforx>0$.
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