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Use Logarithmic Differentiation to Find the Derivative of the Function y=x6xy=x^{6 x}

Question 54

Multiple Choice

Use logarithmic differentiation to find the derivative of the function. y=x6xy=x^{6 x}


A) y′=6(ln⁡x+1) y^{\prime}=6(\ln x+1)
B) y′=6x6x(ln⁡x+1) y^{\prime}=6 x^{6 x}(\ln x+1)
C) y′=−6x6x(ln⁡x+6) y^{\prime}=-6 x^{6 x}(\ln x+6)
D) y′=6x6x(6ln⁡x+1) y^{\prime}=6 x^{6 x}(6 \ln x+1)
E) y′=xx(ln⁡6x+1) y^{\prime}=x^{x}(\ln 6 x+1)

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