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

  • question_answer
    If \[y=\frac{1}{a-z},\]then \[\frac{dz}{dy}=\]

    A)            \[{{(z-a)}^{2}}\]

    B)            \[-{{(z-a)}^{2}}\]

    C)            \[{{(z+a)}^{2}}\]

    D)            \[-{{(z+a)}^{2}}\]

    Correct Answer: A

    Solution :

               Here \[z=a-\frac{1}{y}\]Þ \[\frac{dz}{dy}=\frac{1}{{{y}^{2}}}={{(a-z)}^{2}}\]


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