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If the function f x = x 3 - 6 x 2 + a x + b satisfies all conditions of Rolle's theorem in x ∈ 1,3 , then the value of a is equal to

Options

  1. A1
  2. B11
  3. C22
  4. D2

Correct answer

B. 11

Step-by-step solution

For Rolle’s theorem, f 1 = f 3 ⇒ 1 - 6 + a + b = 27 - 54 + 3 a + b ⇒ 2 a = 22 ⇒ a = 11

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