What is the derivative of tan^ -1(3x^2)? Calculus Differentiating Trigonometric Functions Differentiating Inverse Trigonometric Functions 1 Answer Leland Adriano Alejandro Jan 10, 2016 first derivative of tan^-1 (3x^2) is (6x)/(1+9x^4) Explanation: the formula d/dx(tan^-1 u)=((du)/dx)/(1+u^2) d/dx(tan^-1(3x^2))=(d/dx(3x^2))/(1+(3x^2)^2 d/dx(tan^-1(3x^2))=(6x)/(1+9x^4) Answer link Related questions What is the derivative of f(x)=sin^-1(x) ? What is the derivative of f(x)=cos^-1(x) ? What is the derivative of f(x)=tan^-1(x) ? What is the derivative of f(x)=sec^-1(x) ? What is the derivative of f(x)=csc^-1(x) ? What is the derivative of f(x)=cot^-1(x) ? What is the derivative of f(x)=(cos^-1(x))/x ? What is the derivative of f(x)=tan^-1(e^x) ? What is the derivative of f(x)=cos^-1(x^3) ? What is the derivative of f(x)=ln(sin^-1(x)) ? See all questions in Differentiating Inverse Trigonometric Functions Impact of this question 1618 views around the world You can reuse this answer Creative Commons License