Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The maximum value of the function f(x) = 2x 3 – 15x 2 + 36x – 48 on the set A = {x |x 2 + 20 ≤ 9x} is
Text Solution
Verified by ExpertsThe correct answer is:
7
(7)
Sol.
A = {x |x 2 + 20 ≤ 9x} = {x |x ∈ [4, 5]}
Now, f ′ (x) = 6(x 2 – 5x + 6)
f ′ (x) = 0 ⇒ x = 2, 3
f(b) = –20, f(c) = –21, f(d) = –16, f(5) = 7
from graph, maximum of f(x) on set A is f(5) = 7
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