Example 7 - Show that f(x) = 7x - 3 is strictly increasing - Examples

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  1. Chapter 6 Class 12 Application of Derivatives
  2. Serial order wise
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Example 7 (Method 1) Show that the function given by f (๐‘ฅ) = 7๐‘ฅ โ€“ 3 is strictly increasing on R. f (๐‘ฅ) = 7๐‘ฅ โ€“ 3 fโ€™(x) = (7x โ€“ 3)โ€™ fโ€™(x) = 7 Since fโ€™ (๐‘ฅ) > 0 Hence, f is strictly increasing on R Example 7 (Method 2 ) Show that the function given by f (x) = 7x โ€“ 3 is strictly increasing on R. Let x1 and x2 be any 2 numbers in R such that x1 < x2 7x1 < 7x2 7x1 โˆ’ 3 < 7x2 โˆ’ 3 f (x1) < f(x2) Hence when x1 < x2 , f (x1) < f (x2) Thus, f(x) is strictly increasing on R.

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