JEE Main & Advanced Mathematics Functions Question Bank Functions

  • question_answer
    If \[f(x)=2{{x}^{6}}+3{{x}^{4}}+4{{x}^{2}}\] then \[f'(x)\] is           [DCE 2005]

    A)            Even function

    B)            An odd function

    C)            Neither even nor odd

    D)            None of these

    Correct Answer: B

    Solution :

               \[f(x)=2{{x}^{6}}+3{{x}^{4}}+4{{x}^{2}}\]                    \[f(-x)=2{{(-x)}^{6}}+3{{(-x)}^{4}}+4{{(-x)}^{2}}=f(x)\]                    Þ \[f(x)\] is an even function and derivative of an even function is always odd.


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