Ex 6.2, 6 (a) - Chapter 6 Class 12 Application of Derivatives

Last updated at Dec. 16, 2024 by

Ex 6.2, 6 - Find intervals in which functions strictly increasing

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

 

Share on WhatsApp

Transcript

Ex 6.2, 6 Find the intervals in which the following functions are strictly increasing or decreasing: (a) 𝑥2 + 2𝑥 – 5 f(𝑥) = 𝑥2 + 2𝑥 – 5 Calculating f’ (𝒙) f’(𝑥) = 2𝑥 + 2 f’(𝑥) = 2 (𝑥 + 1) Putting f’ (𝒙) = 0 2 (𝑥 + 1) = 0 (𝑥 + 1) = 0 𝒙 = –1 Plotting point on real line Hence, f is strictly decreasing for (−∞ ," –1" ) f is strictly increasing for ( "–1" ,∞)

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo