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

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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

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.