1.

If f(x) =X^(3) + ax^(2) +bx +c has extreme values at x=-1 and x=3 . Finda,b,c.

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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