Derivative Of X^lnx

#4. What is the derivative of y = x^(ln x) where ln x is the natural logarithm of x.

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The function `y = x^(ln x)` . The derivative `dy/dx` has to be determined.

First, take the natural log of both the sides. As `y = x^(ln x)` , `ln y = ln(x^(ln x))`

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