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 4252 views around the world You can reuse this answer Creative Commons License