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

Example 10 - Chapter 6 Class 12 Application of Derivatives - Part 2

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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 (π‘₯) = π‘₯2 – 4π‘₯ + 6 Calculate f’(𝒙) 𝑓’ (π‘₯) = 2π‘₯ – 4 Calculate f’(𝒙) = 0 2π‘₯ – 4 = 0 2π‘₯ = 4 π‘₯ = 4/2=2 Hence π‘₯ = 2 divide real line into 2 disjoint intervals. Plotting points on number line Hence. f is strictly decreasing in interval (βˆ’ ∞ ,𝟐) f is strictly increasing in interval (2 , ∞)

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.