JEE Main & Advanced Mathematics Applications of Derivatives Question Bank Increasing and Decreasing Function

  • question_answer
    On the interval \[\left( 0,\frac{\pi }{2} \right)\], the function log sin x is

    A)            Increasing                             

    B)            Decreasing

    C)            Neither increasing nor decreasing

    D)            None of these

    Correct Answer: A

    Solution :

               Let \[f(x)=\log \sin x\Rightarrow f'(x)=\cot x\]                    Hence function is increasing on the interval \[\left( 0,\frac{\pi }{2} \right)\].


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