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Application of Derivatives question

2021 · 16 Mar · Shift 2 · Q40

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PYQ Library
JEE Main
Mathematics
Application of Derivatives
2021 · 16 Mar · Shift 2 · Q40

Application of Derivatives question

2021 · 16 Mar · Shift 2 · Q40

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1

The maximum value of

f(x) = \left| {\begin{matrix} {{{\sin }^2}x} & {1 + {{\cos }^2}x} & {\cos 2x} \\ {1 + {{\sin }^2}x} & {{{\cos }^2}x} & {\cos 2x} \\ {{{\sin }^2}x} & {{{\cos }^2}x} & {\sin 2x} \\ \end{matrix} } \right|,x \in R

is :

A
$\sqrt 5$
B
${3 \over 4}$
C
5
D
$\sqrt 7$

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