Use Logarithmic Differentiation to Find the Derivative of the Function $y=x^{6 x}$

Multiple Choice

Use logarithmic differentiation to find the derivative of the function. $y=x^{6 x}$

A) $y^{\prime}=6(\ln x+1)$
B) $y^{\prime}=6 x^{6 x}(\ln x+1)$
C) $y^{\prime}=-6 x^{6 x}(\ln x+6)$
D) $y^{\prime}=6 x^{6 x}(6 \ln x+1)$
E) $y^{\prime}=x^{x}(\ln 6 x+1)$