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

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Ex 6.5,2 - 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 6.5, 2 Find the maximum and minimum values, if any, of the following functions given by (iii) ℎ(𝑥)= sin ⁡(2𝑥)+ 5ℎ(𝑥)= sin ⁡(2𝑥)+ 5 We know that –1 ≤ sin θ ≤ 1 –1 ≤ sin 2𝑥 ≤ 1 Adding 5 both sides –1 + 5 ≤ sin2𝑥 + 5 ≤ 1 + 5 4 ≤ sin 2𝑥 + 5 ≤ 6 4 ≤ f(𝑥)≤6 Hence Maximum value of f(𝒙)=𝟔 & Minimum value of f(𝒙)=𝟒

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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.