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Black Book Advanced Problems in MathematicsMathematicsApplication of Derivatives

Let f:[-3, 4] R such that f''(x) > 0 for all x [-3, 4] , then which of the following are always true ?

Options

  1. Af(x) has a relative minimum on (-3, 4)
  2. Bf(x) has a minimum on [-3, 4]
  3. Cf(x) has a maximum on [-3, 4]
  4. Dif f(3) = f(4) , then f(x) has a critical point on [-3, 4]

Correct answer

B. f(x) has a minimum on [-3, 4]

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