2. Solved Papers
  3. J & K CET Engineering

J & K CET Engineering J and K - CET Engineering Solved Paper-2015

  • question_answer
    The derivative of sin x with respect to \[cos\text{ }x\]is

    A)  \[sin\,\,x\]              

    B)  \[-cos\,x\]

    C)  \[tan\,\,x\]              

    D)  \[-cot\,x\]

    Correct Answer: D

    Solution :

    Let \[u(x)=\sin \,x\] and \[v(x)=\cos \,x\,\,\,\Rightarrow \,\,\frac{du}{dx}=\cos \,x\] and \[\frac{dv}{dx}=-\sin x\] Then, \[\frac{du}{dv}=\frac{du/dx}{dv/dx}\Rightarrow \frac{du}{dv}=\frac{\cos \,x}{-\sin x}\] \[\Rightarrow \]\[\frac{du}{dv}=-\cot \,x\]


You need to login to perform this action.
You will be redirected in 3 sec spinner