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Ex 6.5,2 - Chapter 6 Class 12 Application of Derivatives - Part 3

Ex 6.5,2 - Chapter 6 Class 12 Application of Derivatives - Part 4

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Transcript

Ex 6.5, 2 Find the maximum and minimum values, if any, of the following functions given by (iii) β„Ž(π‘₯)= sin ⁑(2π‘₯)+ 5β„Ž(π‘₯)= sin ⁑(2π‘₯)+ 5 We know that –1 ≀ sin ΞΈ ≀ 1 –1 ≀ sin 2π‘₯ ≀ 1 Adding 5 both sides –1 + 5 ≀ sin2π‘₯ + 5 ≀ 1 + 5 4 ≀ sin 2π‘₯ + 5 ≀ 6 4 ≀ f(π‘₯)≀6 Hence Maximum value of f(𝒙)=πŸ” & Minimum value of f(𝒙)=πŸ’

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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.