Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Find the absolute maximum/minimum value of following functions
(i) f(x) = x 3 ; x ∈ [–2, 2]
(ii) f(x) = sinx + cosx ; x ∈ [0, π ]
(iii) f(x) = 4x – 
; x ∈ 
(iv) f(x) = 3x 4 – 8x 3 + 12x 2 – 48x + 25 ; x ∈ [0, 3]
(v) f (x) = sin x + 
cos 2 x ; x ∈ 
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(i) max = 8, min. = – 8
(ii) max = 
, min = – 1
(iii) max. = 8, min. = – 10
(iv) max. = 25, min = – 39
(v) max. at x = π /6, max. value = 3/4; min. at x = 0 and π /2, min. value = 1/2
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