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CGP EDU Academic Team
Published on: August 13, 2026
Let f(x) = Max. {x 2 , (1 – x) 2 , 2x(1 – x)} where x ∈ [0, 1] If Rolle's theorem is applicable for f(x) on largest possible interval [a, b] then the value of 2(a + b + c) when c ∈ (a, b) such that f'
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From figure we can see Rolle’s theorem is applicable for x ∈ 
and f' = 0 = 2 – 4c ⇒
c = 
a + b + c = 
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