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

Last updated at Jan. 7, 2020 by Teachoo

Check Full Chapter Explained - Continuity and Differentiability - Application of Derivatives (AOD) Class 12

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, ∞).

Ex 6.2

Ex 6.2,10 You are here

Ex 6.3 →

Chapter 6 Class 12 Application of Derivatives

Serial order wise

Ex 6.1
Ex 6.2
Ex 6.3
Ex 6.4
Ex 6.5
Examples
Miscellaneous

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.