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

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

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  1. Chapter 6 Class 12 Application of Derivatives (Term 1)
  2. Serial order wise

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
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.