Question #f0b82 Calculus Derivatives Limit Definition of Derivative 1 Answer Monzur R. Aug 6, 2017 d/dx(logx^2-cot2x) = 2/x+2csc^2 2x Explanation: d/dx(logx^2-cot2x) = d/dx(logx^2)-d/dx(cot2x) d/dx(logx^2) = ((x^2)')/x^2 = (2x)/x^2=2/x -d/dx(cot2x) = --2csc^2 2x= 2csc^2 2x therefore d/dx(logx^2-cot2x) = 2/x+2csc^2 2x Answer link Related questions What is the limit definition of the derivative of the function y=f(x) ? Ho do I use the limit definition of derivative to find f'(x) for f(x)=3x^2+x ? How do I use the limit definition of derivative to find f'(x) for f(x)=sqrt(x+3) ? How do I use the limit definition of derivative to find f'(x) for f(x)=1/(1-x) ? How do I use the limit definition of derivative to find f'(x) for f(x)=x^3-2 ? How do I use the limit definition of derivative to find f'(x) for f(x)=1/sqrt(x) ? How do I use the limit definition of derivative to find f'(x) for f(x)=5x-9x^2 ? How do I use the limit definition of derivative to find f'(x) for f(x)=sqrt(2+6x) ? How do I use the limit definition of derivative to find f'(x) for f(x)=mx+b ? How do I use the limit definition of derivative to find f'(x) for f(x)=c ? See all questions in Limit Definition of Derivative Impact of this question 1471 views around the world You can reuse this answer Creative Commons License