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

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  1. Chapter 6 Class 12 Application of Derivatives
  2. Serial order wise
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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 decreasing f ( ) = 2 4 + 6 Step 1 Calculate f ( ) ( ) = 2 4 Step 2 Calculate f ( ) = 0 2 4 = 0 2 = 4 = 4 2 =2 Hence = 2 divide real line into 2 disjoint intervals. Step 3 Drawing graph

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.