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Question

Prove that the function f(x) = x3 − 6x2 + 12x − 18 is increasing on R.

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Solution

fx=x3-6x2+12x-18f'x=3x2-12x+12 =3x2-4x+4 =3x-220, xR 3>0 & x-220So, f(x) is increasing on R.

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