JEE Main & Advanced Sample Paper JEE Main Sample Paper-21

  • question_answer
    Let \[f(x)=5sgn \,({{e}^{x}})-4{{(x-2)}^{3}}.\]Then

    A)  \[f(x)\] is increasing in \[(2,\infty )\]

    B)  \[f(x)\] is decreasing in \[(\infty ,-2)\]

    C) \[f(x)\] has minima at \[x=2\]

    D)  \[f(x)\]  has maxima at \[x=2\]

    Correct Answer: D

    Solution :

    f(x) has maximum at x= 2 Note: sgn k denotes signum function of k.


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