Example 10 - Chapter 6 Class 12 Application of Derivatives

Last updated at Dec. 16, 2024 by

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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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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo