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Find the cubic function of the form f(x)= ax^3+bx^2+cx+d , where a does not equal zero and the coefficients a,b,c,d are real numbers, which satisfies the conditions given below. Relative maximum: (3,2) Relative maximum:(5,0) Inflection point:(4,1). (I know the answer is f(x)= (1/2)x^3-6x^2 +(45/2)x-25 ; I just want to know.
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