Hvordan deriverer man ln(g(x))\ln(g(x))ln(g(x))?
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Kjerneregel: ddxln(g(x))=g′(x)g(x)\displaystyle \frac{d}{dx}\ln(g(x))=\frac{g'(x)}{g(x)}dxdln(g(x))=g(x)g′(x) Eks: ddxln(x2+1)=2xx2+1\displaystyle \frac{d}{dx}\ln(x^2+1)=\frac{2x}{x^2+1}dxdln(x2+1)=x2+12x.
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