Ex 6.3, 2 (iii) - Chapter 6 Class 12 Application of Derivatives
Last updated at Dec. 16, 2024 by Teachoo
Ex 6.3
Ex 6.3, 1 (i)
Important
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Transcript
Ex 6.3, 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
