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Application of Derivatives — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsApplication of Derivatives2 Marks
Question
Find the maximum and minimum value, f(x) = |sin 4x + 3|
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Answer

It is given that f(x) = |sin 4x + 3|
Now, we can see that $-1 \leq \sin 4 x \leq 1$ 
$\Rightarrow 2 \leq \sin 4 x+3 \leq 4$ 
$\Rightarrow 2 \leq|\sin 4 x+3| \leq 4$ 
Therefore, the maximum and minimum value of function h are 4 and 2 respectively.

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