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 โ€“ 4x + 6 is (a) strictly increasing (b) strictly decreasing f (๐‘ฅ) = ๐‘ฅ2 โ€“ 4๐‘ฅ + 6 Step 1 Calculate fโ€™(๐‘ฅ) ๐‘“โ€™ (๐‘ฅ) = 2๐‘ฅ โ€“ 4 Step 2 Calculate fโ€™(๐‘ฅ) = 0 2๐‘ฅ โ€“ 4 = 0 2๐‘ฅ = 4 ๐‘ฅ = ๏ท4๏ทฎ2๏ทฏ=2 Hence ๐‘ฅ = 2 divide real line into 2 disjoint intervals. Step 3 Drawing graph

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