Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If f(x) = x 5 – 2x 4 + 3x 3 + 100, then-
A
f 
> f 
> f
B
f(200) < f(199)
C
f(x + 1) > f(x – 1)
D
f(2x) < f(2x – 3)
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a, c)
f ′ (x) = 5x 4 – 8x 3 + 9x 2 = x 2 (5x 2 – 8x + 9)
f ′ (x) ≥ 0 ∀ x ∈ R
⇒ f(x) is monotonically increasing
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