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Application of Derivatives question

2017 · Shift 2 · Q32

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PYQ Library
JEE Advanced
Mathematics
Application of Derivatives
2017 · Shift 2 · Q32

Application of Derivatives question

2017 · Shift 2 · Q32

JEE AdvancedMathematicsApplication of DerivativesMultiple correct+4 / −2

If

f(x) = \left| {\begin{matrix} {\cos 2x} & {\cos 2x} & {\sin 2x} \\ { - \cos x} & {\cos x} & { - \sin x} \\ {\sin x} & {\sin x} & {\cos x} \\ \end{matrix} } \right|

, then

A
f(x) attains its minimum at x = 0
B
f(x) attains its maximum at x = 0
C
f'(x) = 0 at more than three points in ( $-\pi$ , $\pi$ )
D
f'(x) = 0 at exactly three points in ( $-\pi$ , $\pi$ )

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