Last updated at Dec. 16, 2024 by Teachoo
Ex 6.2, 2 Show that the function given by f (x) = e2x is strictly increasing on R. Let ๐ฅ1 and ๐ฅ2 be real numbers Such that ๐๐ < ๐2 Multiplying both sides by 2 2๐ฅ1 < 2๐ฅ2 Taking exponential both sides ๐^2๐ฅ1 < ๐^2๐ฅ2 f (๐๐) < f ( ๐2) Hence, when x1 < x2 , f(x1) < f(x2) Thus, f(x) is strictly increasing on R.
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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo