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

  • question_answer
    \[\frac{d}{dx}\left( \frac{\sec x+\tan x}{\sec x-\tan x} \right)=\]             [DSSE 1979, 81; CBSE 1981]

    A)            \[\frac{2\cos x}{{{(1-\sin x)}^{2}}}\]

    B)            \[\frac{\cos x}{{{(1-\sin x)}^{2}}}\]

    C)            \[\frac{2\cos x}{1-\sin x}\]

    D)            None of these

    Correct Answer: A

    Solution :

               \[\frac{d}{dx}\left( \frac{\sec x+\tan x}{\sec x-\tan x} \right)=\frac{d}{dx}\left( \frac{1+\sin x}{1-\sin x} \right)\].


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