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JEE Main & Advanced Mathematics Differentiation Question Bank Derivative at a point Standard Differentiation

  • question_answer
     If \[y=\sin [\cos (\sin x)],\]then \[dy/dx=\]

    A)            \[-\cos [\cos (\sin x)]\sin (\cos x).\cos x\]

    B)            \[-\cos [\cos (\sin x)]\sin (\sin x).\cos x\]

    C)            \[\cos [\cos (\sin x)]\sin (\cos x).\cos x\]

    D)            \[\cos [\cos (\sin x)]\sin (\sin x).\cos x\]

    Correct Answer: B

    Solution :

               \[y=\sin \{\cos (\sin x)\}\]                    Þ  \[\frac{dy}{dx}=-\cos \{\cos (\sin x)\}\sin (\sin x)\cos x\].


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