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.
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