A) \[\frac{6{{x}^{2}}-2x+2}{{{({{x}^{2}}+1)}^{2}}}\sin {{\left( \frac{2x-1}{{{x}^{2}}+1} \right)}^{2}}\]
B) \[\frac{6{{x}^{2}}-2x+2}{{{({{x}^{2}}+1)}^{2}}}{{\sin }^{2}}\left( \frac{2x-1}{{{x}^{2}}+1} \right)\]
C) \[\frac{-2{{x}^{2}}+2x+2}{{{({{x}^{2}}+1)}^{2}}}{{\sin }^{2}}\left( \frac{2x-1}{{{x}^{2}}+1} \right)\]
D) \[\frac{-2{{x}^{2}}+2x+2}{{{({{x}^{2}}+1)}^{2}}}\sin {{\left( \frac{2x-1}{{{x}^{2}}+1} \right)}^{2}}\]
Correct Answer: D
Solution :
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