Let f(x) = . Find the set of values of b such that f(x) ha…

Maths Differentiation and Applications of Derivatives Maxima and Minima Subjective Type

Published on: August 14, 2026

Let f(x) = . Find the set of values of b such that f(x) has a local minima at x = 1.

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The correct answer is:

CHECK THE SOLUTION.

f ′ (x) =

f ′ (x) changes sign from negative to positive.

f(1 – ) = 2 , f (1 + ) = 1 + λ nb and f(1) = 1 + λ nb.

f(1 – ) ≥ f(1) ⇒ 2 ≥ 1 + λ nb

⇒ λ nb ≤ 1 0 < b ≤ e

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