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

question 54

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) \(y^{\prime}=x^{x}(\ln 6 x+1)\)

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