What is the derivative of #(tanx)^-1#? Calculus Differentiating Trigonometric Functions Derivative Rules for y=cos(x) and y=tan(x) 1 Answer Nam D. Mar 8, 2018 #-csc^2(x)# Explanation: We have: #d/dx((tan(x))^-1)# Using, #(tan(x))^-1=cot(x)#, we get #d/dx(cot(x))# #=-csc^2(x)# Source: http://www.math.com/tables/derivatives/more/trig.htm Answer link Related questions What is the derivative of #y=cos(x)# ? What is the derivative of #y=tan(x)# ? How do you find the 108th derivative of #y=cos(x)# ? How do you find the derivative of #y=cos(x)# from first principle? How do you find the derivative of #y=cos(x^2)# ? How do you find the derivative of #y=e^x cos(x)# ? How do you find the derivative of #y=x^cos(x)#? How do you find the second derivative of #y=cos(x^2)# ? How do you find the 50th derivative of #y=cos(x)# ? How do you find the derivative of #y=cos(x^2)# ? See all questions in Derivative Rules for y=cos(x) and y=tan(x) Impact of this question 9487 views around the world You can reuse this answer Creative Commons License