Ex 6.2, 1 - Chapter 6 Class 12 Application of Derivatives
Last updated at Dec. 16, 2024 by Teachoo
Last updated at Dec. 16, 2024 by Teachoo
Ex 6.2, 1 (Method 1) Show that the function given by f (๐ฅ) = 3๐ฅ + 17 is strictly increasing on R. f(๐ฅ) = 3๐ฅ + 17 Finding fโ(๐) fโ(๐ฅ) = 3 Since fโ(๐) > 0 Hence, f is strictly increasing on R Ex 6.2, 1 (Method 2) Show that the function given by f (x) = 3x + 17 is strictly increasing on R. Let ๐ฅ1 and ๐ฅ2 be real numbers Such that ๐๐ < ๐2 Multiplying both sides by 3 3๐ฅ1 < 3 ๐ฅ2 Adding both sides by 17 3๐ฅ1 + 17 < 3๐ฅ2 + 17 f (๐๐) < f ( ๐2) Hence, when x1 < x2 , f(x1) < f(x2) Thus, f(x) is strictly increasing on R.
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