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

Last updated at April 14, 2021 by Teachoo

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

Ex 6.2

Ex 6.2,10 You are here

Ex 6.3 →

Chapter 6 Class 12 Application of Derivatives (Term 1)

Serial order wise

Ex 6.1
Ex 6.2
Ex 6.3
Ex 6.4
Ex 6.5
Examples
Miscellaneous
Case Based Questions (MCQ)

About the Author

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.