What is the derivative of # tan^ -1(3x^2)#? Calculus Differentiating Trigonometric Functions Derivative Rules for y=cos(x) and y=tan(x) 1 Answer Sihan Tawsik Jan 28, 2016 #(6x)/(1-9x^4)# Explanation: using the chain rule, #d/(dx)(tan^(-1)(3x^2))# #=1/(1-(3x^2)^2)*d/(dx)(3x^2)# #=1/(1-9x^4)*3*2x# #=(6x)/(1-9x^4)# 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 6129 views around the world You can reuse this answer Creative Commons License