Example 10 - Chapter 6 Class 12 Application of Derivatives

Last updated at August 25, 2026 by

Example 10 - Find the intervals in which f(x) = x2 - 4x + 6 - Examples

part 2 - Example 10 - Examples - Serial order wise - Chapter 6 Class 12 Application of Derivatives

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Example 10 Find the intervals in which the function f given by f (x) = x2 – 4x + 6 is (a) strictly increasing (b) strictly decreasingf (𝑥) = 𝑥2 – 4𝑥 + 6 Calculate f’(𝒙) 𝑓’ (𝑥) = 2𝑥 – 4 Calculate f’(𝒙) = 0 2𝑥 – 4 = 0 2𝑥 = 4 𝑥 = 4/2=2 Hence 𝑥 = 2 divide real line into 2 disjoint intervals. Plotting points on number line

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