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

  • question_answer
    \[\frac{d}{dx}\{\cos (\sin {{x}^{2}})\}=\]                                                                   [DSSE 1979]

    A)            \[\sin (\sin {{x}^{2}}).\cos {{x}^{2}}.2x\]

    B)            \[-\sin (\sin {{x}^{2}}).\cos {{x}^{2}}.2x\]

    C)            \[-\sin (\sin {{x}^{2}}).{{\cos }^{2}}x.2x\]

    D)            None of these

    Correct Answer: B

    Solution :

               \[\frac{d}{dx}\{\cos (\sin {{x}^{2}})\}=-\sin (\sin {{x}^{2}})\cos {{x}^{2}}.2x\].


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