Ex 6.2, 10 - Prove logarithmic function is strictly increasing - To show increasing/decreasing in whole domain

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

Transcript

Ex 6.2,10 Prove that the logarithmic function is strictly increasing on (0, ). f = log We need to prove f in increasing on 0 , uc1 i.e. we need to show f > 0 for x 0 , uc1 Now, f = log f = 1 When > 0 1 > 0 f > 0 Hence f is an increasing function for > 0

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