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STD 12 - 6. Application of derivatives — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 12 - 6. Application of derivatives4 Marks
MCQ
The maximum and minimum values of the function $|\sin 4x + 3|$ are
  • A
    $1, 2$
  • ✓
    $4, 2$
  • C
    $2, 4$
  • D
    $-1, 1$
✓

Answer

Correct option: B.
$4, 2$
b
(b) Here $f(x) = |\sin 4x + 3|$

We know that minimum value of $\sin x$ is  $-1$  and maximum is $ 1.$

Hence minimum $|\sin 4x + 3|\, = \,| - 1 + 3| = 2$ and

maximum $|\sin 4x + 3| = |1 + 3| = 4$.

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