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For f : R → R ,   f x = x 4 - 8 x 3 + 22 x 2 - 24 x , the sum of all local extreme values of f x is equal to

Options

  1. A- 9
  2. B- 8
  3. C- 17
  4. D- 26

Correct answer

D. - 26

Step-by-step solution

f ′ x = 4 x 3 − 6 x 2 + 11 x − 6 = 4 x - 1 x - 2 x - 3 Hence, x = 1 , 2 , 3 are points of extrema So, f 1 + f 2 + f 3 - 9 + - 8 + - 9 = - 26

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