If c is a point at which Rolle’s theorem holds for the function, f x = log e ⁡ x 2 + α 7 x in the interval 3 , 4 , where α ∈ R , then f ' ' c is equal to

Question

If c is a point at which Rolle’s theorem holds for the function, f x = log e ⁡ x 2 + α 7 x in the interval 3 , 4 , where α ∈ R , then f ' ' c is equal to, - 1 12, 1 12, - 1 24, 3 7

MARKS App · Accepted Answer

f 3 = f 4 ⇒ α = 12 f ' x = x 2 - 12 x x 2 + 12 ∴ f ' c = 0 ∴ c = 12 ∴ f ' ' c = 1 12

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