# What is the derivative of #y=x^(5x)#?

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To find the derivative of ( y = x^{5x} ), we use the logarithmic differentiation method. The derivative is given by ( \frac{dy}{dx} = y \cdot (\ln(x) + 1) ). Therefore, ( \frac{dy}{dx} = x^{5x} \cdot (\ln(x) + 1) ).

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