How do you differentiate y=sqrt(tan^-1x)? Calculus Differentiating Trigonometric Functions Differentiating Inverse Trigonometric Functions 1 Answer Anees Apr 16, 2015 dy/dx=1/(2sqrt(tan^-1x))(1/(1+x^2)) y=sqrt(tan^-1x) dy/dx=1/2(tan^-1x)^((-1)/2)d/dxtan^-1x dy/dx=1/(2sqrt(tan^-1x))(1/(1+x^2)) 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 6214 views around the world You can reuse this answer Creative Commons License