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JEE Main & Advanced Mathematics Differentiation Question Bank Differentiation by Substitution

  • question_answer
    If \[y=a{{e}^{x}}+b{{e}^{-x}}+c\] where \[a,b,c\] are parameters then \[{{y}''}'=\]                                            [EAMCET 2002]

    A)            \[y\]

    B)            \[y'\]

    C)            0

    D)            \[y''\]

    Correct Answer: B

    Solution :

               \[y=a{{e}^{x}}+b{{e}^{-x}}+c\] Þ \[{y}'=a{{e}^{x}}-b{{e}^{-x}}\]                    Þ \[{{y}'}'=a{{e}^{x}}+b{{e}^{-x}}\] Þ\[{{{y}'}'}'=a{{e}^{x}}-b{{e}^{-x}}={y}'\].


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