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

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Ex 6.3, 2 (iv) Class 12 - Find max and min values for f(x) = |sin 4x + - Ex 6.3

part 2 - Ex 6.3, 2 (iv) - Ex 6.3 - Serial order wise - Chapter 6 Class 12 Application of Derivatives

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Ex 6.3, 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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