A) \[\frac{{{x}^{2}}+\log x.{{x}^{\log x}}}{x}\]
B) \[{{x}^{2}}+\log x.{{x}^{\log x}}\]
C) \[\frac{2({{x}^{2}}+\log x.{{x}^{\log x}})}{x}\]
D) None of these
Correct Answer: C
Solution :
\[y={{x}^{2}}+{{x}^{\log x}}\]Þ \[\frac{dy}{dx}=2x+{{x}^{\log x}}\left( 2{{\log }_{e}}x.\frac{1}{x} \right)\] \[=\frac{2({{x}^{2}}+{{x}^{\log x}}{{\log }_{e}}x)}{x}\].
You need to login to perform this action.
You will be redirected in
3 sec
