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Differentiation question

2018 · 15 Apr · Shift 1 · Q47

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PYQ Library
JEE Main
Mathematics
Differentiation
2018 · 15 Apr · Shift 1 · Q47

Differentiation question

2018 · 15 Apr · Shift 1 · Q47

JEE MainMathematicsDifferentiationMCQ+4 / −1

If

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

then

\mathop {\lim }\limits_{x \to 0} {{f'\left( x \right)} \over x}

A
does not exist.
B
exists and is equal to 2.
C
existsand is equal to 0.
D
exists and is equal to $-$ 2.

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