Ex 6.2, 2 - Show that f(x) = e2x is strictly increasing on R

  1. Chapter 6 Class 12 Application of Derivatives (Term 1)
  2. Serial order wise

Transcript

Ex 6.2, 2 Show that the function given by f (x) = e2x is strictly increasing on R. Let ๐‘ฅ1 and ๐‘ฅ2 be real numbers Such that ๐’™๐Ÿ < ๐’™2 Multiplying both sides by 2 2๐‘ฅ1 < 2๐‘ฅ2 Taking exponential both sides ๐‘’^2๐‘ฅ1 < ๐‘’^2๐‘ฅ2 f (๐’™๐Ÿ) < f ( ๐’™2) Hence, when x1 < x2 , f(x1) < f(x2) Thus, f(x) is strictly increasing on R.

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.