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

  • question_answer
    \[\frac{d}{dx}{{({{x}^{2}}+\cos x)}^{4}}=\]                                                        [DSSE 1979]

    A)            \[4({{x}^{2}}+\cos x)(2x-\sin x)\]                                         

    B)  \[4{{({{x}^{2}}-\cos x)}^{3}}(2x-\sin x)\]                                   

    C)            \[4{{({{x}^{2}}+\cos x)}^{3}}(2x-\sin x)\]

    D)            \[4{{({{x}^{2}}+\cos x)}^{3}}(2x+\sin x)\]

    Correct Answer: C

    Solution :

               \[\frac{d}{dx}{{[{{x}^{2}}+\cos x]}^{4}}=4{{[{{x}^{2}}+\cos x]}^{3}}[2x-\sin x]\].


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