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1. f'(x)=(ctg(x))'=-1/(sin^2(x)) f'(x0)=-1/(sin^2(pi/3))=-4/3 2. f'(x)=(1/x+lnx)'=(1/x^2+1/x)=-(1 - x)/x^2 f'(x0)=-(1 - 0.5)/(0.5)^2=-0.5(1/4)=-2