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 1221 views around the world You can reuse this answer Creative Commons License