I had: =d/dx xln(x) - d/dx 1 =d/dx ln(x)^x =x^(-x-1) [and this is wrong] Can someone show me the correct answer and working please?
f(x) = x[ln(x) - 1] using the product rule I get: f'(x) = x(1/x) + [ln(x)-1](1) = 1 + ln(x) - 1 = ln(x)
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