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JEE MATHEMATICS MCQ: DIFFERENTIATION

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If f(x)=sin⁡xf\left( x \right) = \sin x and g(x)=s gnsin⁡xg\left( x \right) = {\mathop\mathrm{s}\nolimits} \,gn\sin x, then g′(1)g'\left( 1 \right) equals
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Correct option: C
cos⁡1\cos 1
Option C (cos⁡1\cos 1) is correct because it is the value of the derivative of g(x)g(x) at x=1x=1.

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