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If f(x) =X^(3) + ax^(2) +bx +c has extreme values at x=-1 and x=3 . Finda,b,c. |
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Answer» Solution :Extreme values basically mean maximum or minimum values SINCE F(x) isdifferentiable function so `f(-1) =0 =f'(3)` `f'(x) =3x^(2) +2ax +b` ` f'(3) =27 +6a +b=0` `f'(-1) =3 -2A +b =0` `rArr "" a=-3 ,b =- 9, c in R` |
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