What is the derivative of f(x) = xlnx-lnx^x? Calculus Basic Differentiation Rules Sum Rule 1 Answer Sarmad C. Nov 11, 2015 0. Explanation: x ln x = ln x^x Hope that helps, Cheers. Answer link Related questions What is the Sum Rule for derivatives? How do you find the derivative of y=f(x)+g(x)? How do you find the derivative of y = f(x) - g(x)? How do you differentiate f(x)=1/x+1/x^3 using the sum rule? How do you differentiate f(x)=x+x-2x using the sum rule? How do you differentiate f(x)=x^2-x-x(x-1) using the sum rule? How do you differentiate f(x)=x^3-x^2+4x-1 using the sum rule? How do you differentiate f(x)=sinx+cosx-x^3 using the sum rule? How do you differentiate f(x)=x+lnx^2-x^2 using the sum rule? How do you differentiate f(x)=1/sinx-secx+tanx using the sum rule? See all questions in Sum Rule Impact of this question 4525 views around the world You can reuse this answer Creative Commons License