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CGP EDU Academic Team
Published on: August 14, 2026
f(x) = x 5 – 5x 4 + 5x 3 – 10 has local maxima and minima at x = λ and x = m respectively then 2 λ + m is equal to
Text Solution
Verified by ExpertsThe correct answer is:
5
Ans. 5
Sol. f ′ (x) = 5x 4 – 20x 3 + 15x 2 = 5x 2 (x – 1) (x – 3)
for maximum & minimum
f ′ (x) = 0 ⇒ x = 0, 1, 3
f ″ (x) = 20x 3 – 60x 2 + 30x = 10x (2x 2 – 6x + 3)
f ″ (0) = 0 Neither point of minimum n or maximum
f ″ (1) = – 10 point of maximum
f ″ (3) = 90 point of minimum
∴ λ = 1 & m = 3
2 λ + m = 5
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