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Application of Derivatives — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSApplication of Derivatives2 Marks
Question
Find the maximum and minimum value of, h(x) = sin(2x) + 5
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Answer

It is given that h(x) = sin(2x) + 5
Now, we can see that $-1 \leq \sin 2 x \leq 1$ 
$\Rightarrow-1+5 \leq \sin 2 x+5 \leq 1+5$ 
$\Rightarrow 4 \leq \sin 2 x+5 \leq 6$ 
Therefore, the maximum and minimum value of function h are 6 and 4 respectively.

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