A) \[3x{{e}^{{{x}^{3}}}}\]
B) \[3{{x}^{2}}{{e}^{{{x}^{3}}}}\]
C) \[3x{{\left( {{e}^{{{x}^{3}}}} \right)}^{2}}\]
D) \[2{{x}^{2}}{{e}^{{{x}^{3}}}}\]
Correct Answer: B
Solution :
\[\frac{d}{dx}({{e}^{x}}^{3})={{e}^{x}}^{3}.\frac{d}{dx}({{x}^{3}})=3{{x}^{2}}.\,{{e}^{x}}^{3}\].
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