How do you find f'(1) if f(x)= x^2*tan^-1 x? Calculus Differentiating Trigonometric Functions Differentiating Inverse Trigonometric Functions 1 Answer bp May 18, 2015 It would be pi/2+1/2 f' (x)= 2x tan^-1 x + x^2 /(1+x^2) f' (1)= 2tan^-1 1+ 1/2 =2pi/4 +1/2 =pi/2 +1/2 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 1543 views around the world You can reuse this answer Creative Commons License