A) \[f({{x}^{2}})\,g'({{x}^{2}})-g({{x}^{2}})f'({{x}^{2}})+c\]
B) \[\frac{1}{2}\{f({{x}^{2}})g'({{x}^{2}})f\,'({{x}^{2}})\}+c\]
C) \[\frac{1}{2}\{f({{x}^{2}})g'({{x}^{2}})-g({{x}^{2}})f'({{x}^{2}})\}+c\]
D) \[f({{x}^{2}})g({{x}^{2}})f'({{x}^{2}})+c\]
Correct Answer: C
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