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Ex 6.2,6 - Chapter 6 Class 12 Application of Derivatives - Part 8

Ex 6.2,6 - Chapter 6 Class 12 Application of Derivatives - Part 9
Ex 6.2,6 - Chapter 6 Class 12 Application of Derivatives - Part 10

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Ex 6.2, 6 Find the intervals in which the following functions are strictly increasing or decreasing: (d) 6 – 9𝑥 – 𝑥2 𝑓(𝑥) = 6 – 9𝑥 – 𝑥2 Calculating f’(𝒙) f’(𝑥) = –9 – 2𝑥 f’(𝑥) = –(2𝑥+9) Putting f’(𝒙) = 0 –(2𝑥+9) = 0 2𝑥 + 9 = 0 2𝑥 = – 9 𝒙 = (−𝟗)/𝟐 Plotting point 𝒙 = (−𝟗)/𝟐 on real line Hence f is strictly Increasing for 𝒙 < (−𝟗)/𝟐 & strictly Decreasing for 𝒙 > (−𝟗)/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 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.