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 1556 views around the world You can reuse this answer Creative Commons License