Check sibling questions

Ex 6.2,6 - Chapter 6 Class 12 Application of Derivatives - Part 3

Ex 6.2,6 - Chapter 6 Class 12 Application of Derivatives - Part 4

Learn Intergation from Davneet Sir - Live lectures starting soon!


Transcript

Ex 6.2, 6 Find the intervals in which the following functions are strictly increasing or decreasing: (b) 10 – 6π‘₯ – 2π‘₯2 Calculating f’(𝒙) f(π‘₯) = 10 – 6π‘₯ – 2π‘₯2 f’(π‘₯) = –6 – 4π‘₯ f’(π‘₯) = βˆ’2(3 + 2π‘₯) Putting f’(𝒙) = 0 βˆ’2(3 + 2π‘₯) = 0 3 + 2π‘₯ = 0 2π‘₯ = βˆ’3 𝒙 = (βˆ’πŸ‘)/𝟐 Plotting points on number line Hence, f is strictly decreasing for 𝒙 > (βˆ’πŸ‘)/𝟐 f is strictly increasing for x < (βˆ’πŸ‘)/𝟐

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 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.