Ex 6.5,2 - Chapter 6 Class 12 Application of Derivatives - Part 5

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

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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 (iv) 𝑓 (π‘₯)=|sin⁑4π‘₯+3|𝑓 (π‘₯)=| sin⁑4π‘₯+3| We know that –1 ≀ sin ΞΈ ≀ 1 So, –1 ≀ sin 4π‘₯ ≀ 1 Adding 3 both sides –1 + 3 ≀ sin 4π‘₯ + 3 ≀ 1 + 3 2 ≀ sin 4π‘₯ +3 ≀ 4 Taking modulus |2| ≀ | sin⁑4π‘₯+3| ≀ |4| 2 ≀ | sin⁑4π‘₯+3| ≀ |4| 2 ≀ f(π‘₯)≀4 Hence Maximum value of f(𝒙) is 4 & Minimum value of f(𝒙) is 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.