Find the derivatives of the functions.
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f(x)=elnx−e2ln(x2))Apply lnan=nlnaf(x)=elnx)−eln(x2)2 Apply (xm)n=xmnf(x)=elnx−elnx4Recall that lnez=z, sof(x)=x−x4Differentiate both sides with respect to xf′(x)=ddx[x−x4]Therefore,f′(x)=1−4x3
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