What is the derivative of this function arcsin(x^2)? Calculus Differentiating Trigonometric Functions Differentiating Inverse Trigonometric Functions 1 Answer Ratnesh Bhosale Jun 1, 2018 dy/dx=(2x)/(sqrt(1-x^4)) Explanation: y=sin^-1(x^2) Using Chain Rule, dy/dx=1/(sqrt(1-x^4))xx 2x dy/dx=(2x)/(sqrt(1-x^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 1872 views around the world You can reuse this answer Creative Commons License