The differential of \[{{e}^{{{x}^{3}}}}\]with respect to \[\log x\] is [Karnataka CET 2002]

\[3{{x}^{2}}{{e}^{{{x}^{3}}}}+3{{x}^{2}}\]

\[3{{x}^{2}}{{e}^{{{x}^{3}}}}\]

\[3{{x}^{3}}{{e}^{{{x}^{3}}}}\]

\[3{{x}^{2}}{{e}^{{{x}^{3}}}}+3{{x}^{2}}\]

The differential of \[{{e}^{{{x}^{3}}}}\]with respect to \[\log x\] is

1.	The differential of \[{{e}^{{{x}^{3}}}}\]with respect to \[\log x\] is [Karnataka CET 2002]
A.	\[{{e}^{{{x}^{3}}}}\]
B.	\[3{{x}^{2}}{{e}^{{{x}^{3}}}}\]
C.	\[3{{x}^{3}}{{e}^{{{x}^{3}}}}\]
D.	\[3{{x}^{2}}{{e}^{{{x}^{3}}}}+3{{x}^{2}}\]
Answer» D. \[3{{x}^{2}}{{e}^{{{x}^{3}}}}+3{{x}^{2}}\]