Check sibling questions

Ex 6.2,10 - Chapter 6 Class 12 Application of Derivatives (Term 1)

Last updated at April 14, 2021 by

Ex 6.2, 10 - Prove logarithmic function is strictly increasing

Ex 6.2,10 - Chapter 6 Class 12 Application of Derivatives - Part 2

Transcript

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

Davneet Singh's photo - Teacher, Engineer, Marketer

Made by

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.