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Prove that the function given by f(x)=x^3-3x^2+3x-100 in increasing in R.

Answer»

Solution :`F(X)=x^3-3x^2+3x-100,x inRf(x)=3x^2-6x+3=3(x^2-2x+1)=3(x-1)^2ge0x inRtherefore` f (x) is increasing in R.


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