A) \[\sin 1\]
B) \[2\sin 1\]
C) \[\frac{3}{2}\sin 1\]
D) None of these
Correct Answer: C
Solution :
\[\varphi '(x)=\sin x\frac{d}{dx}\sqrt{x}-\sin \frac{1}{{{x}^{2}}}\frac{d}{dx}\left( \frac{1}{x} \right)\] \[=\sin x.\frac{1}{2\sqrt{x}}+\frac{1}{{{x}^{2}}}\sin \frac{1}{{{x}^{2}}}\] Þ \[\varphi '(1)=\frac{1}{2}\sin 1+\sin 1=\frac{3}{2}\sin 1\].
You need to login to perform this action.
You will be redirected in
3 sec
