A) \[2{{x}^{2}}{{e}^{x}}^{2}+{{e}^{x}}^{2}\]
B) \[{{x}^{2}}{{e}^{x}}^{2}+{{e}^{x}}^{2}\]
C) \[{{e}^{x}}.2{{x}^{2}}+{{e}^{x}}^{2}\]
D) None of these
Correct Answer: A
Solution :
\[\frac{d}{dx}\left( x{{e}^{{{x}^{2}}}} \right)={{e}^{{{x}^{2}}}}+x{{e}^{{{x}^{2}}}}2x={{e}^{{{x}^{2}}}}(1+2{{x}^{2}})\].
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