Ex 6.3, 2 (iv) - Chapter 6 Class 12 Application of Derivatives

Last updated at April 16, 2024 by Teachoo

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Ex 6.3, 2 Find the maximum and minimum values, if any, of the following functions given by (iv) 𝑓 (𝑥)=|sin⁡4𝑥+3|𝑓 (𝑥)=| sin⁡4𝑥+3| We know that –1 ≤ sin θ ≤ 1 So, –1 ≤ sin 4𝑥 ≤ 1 Adding 3 both sides –1 + 3 ≤ sin 4𝑥 + 3 ≤ 1 + 3 2 ≤ sin 4𝑥 +3 ≤ 4 Taking modulus |2| ≤ | sin⁡4𝑥+3| ≤ |4| 2 ≤ | sin⁡4𝑥+3| ≤ |4| 2 ≤ f(𝑥)≤4 Hence Maximum value of f(𝒙) is 4 & Minimum value of f(𝒙) is 2

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