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

  • question_answer
    Given that \[\frac{d}{dx}f(x)=f\,'(x)\]. The relationship \[f\,'(a+b)=f\,'(a)+f\,'(b)\] is valid if \[f(x)\] is equal to [AMU 2000]

    A)            \[x\]

    B)            \[{{x}^{2}}\]

    C)            \[{{x}^{3}}\]

    D)            \[{{x}^{4}}\]

    Correct Answer: B

    Solution :

               Trick: By option , \[2(a+b)=2a+2b\].


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