Find the maximum or minimum values of the following functions: (i)`x^(3)-2x^(2)+x+3` (ii)` x^(3)-6x^(2)+9x+4` (iii) `(x+1)(x-2)^(2)+1` (iv) `2x^(3)-9x
Find the maximum or minimum values of the following functions:
(i)`x^(3)-2x^(2)+x+3`
(ii)` x^(3)-6x^(2)+9x+4`
(iii) `(x+1)(x-2)^(2)+1`
(iv) `2x^(3)-9x^(2)+12x+1`
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Correct Answer - (i) Min value = 3, max value = `85/27`
(ii) Min value = 4, max value = 8
(iii) Min value = 1, max value = 5
(iv) Min value = 5, max value = 6
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