No idea how to solve this Use logarithmic differentiation to find the derivative

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No idea how to solve this

Use logarithmic differentiation to find the derivative of the function. y=x3x Enhanced Feedback Please try again. First, take the logarithm on both sides to get an expression for In y. Second, differentiate both sides with respect to x to obtain an expression for . Third, multiply both sides by the expression of y to finally get the expression for y'. In most cases when logarithmic differentiation is used, either the product rule or quotient rule must be applied in the second step.

Explanation / Answer

y = x^(3x)

log y = 3x logx

=> (1/y)y = 3 logx + 3x/x

=> y ' = y [ 3logx + 3 ]

=> y ' = (x^(3x) ) [ 3 + 3logx ]

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