A) \[\frac{5}{2}\]
B) \[\frac{7}{2}\]
C) \[\frac{9}{2}\]
D) \[\frac{11}{2}\]
Correct Answer: C
Solution :
\[\frac{dy}{dx}=2x-\frac{1}{{{x}^{2}}}\Rightarrow \,y={{x}^{2}}+\frac{1}{x}+c\] As, \[M(-1,\,1)\Rightarrow \,1=1-1+c\Rightarrow \,c=1\] \[\Rightarrow \,y={{x}^{2}}+\frac{1}{x}+1;\]So, \[y(-2)=\frac{9}{2}\]You need to login to perform this action.
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