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Last updated at April 19, 2021 by Teachoo

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Example 10 Find the intervals in which the function f given by f (x) = x2 โ 4x + 6 is (a) strictly increasing (b) strictly decreasingf (๐ฅ) = ๐ฅ2 โ 4๐ฅ + 6 Calculate fโ(๐) ๐โ (๐ฅ) = 2๐ฅ โ 4 Calculate fโ(๐) = 0 2๐ฅ โ 4 = 0 2๐ฅ = 4 ๐ฅ = 4/2=2 Hence ๐ฅ = 2 divide real line into 2 disjoint intervals. Plotting points on number line Hence. f is strictly decreasing in interval (โ โ ,๐) f is strictly increasing in interval (2 , โ)

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Chapter 6 Class 12 Application of Derivatives (Term 1)

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About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.