How do you compute the derivative of y=(sin^-1)xy=(sin−1)x and x=3/5? Calculus Differentiating Trigonometric Functions Differentiating Inverse Trigonometric Functions 1 Answer Trevor Ryan. Oct 16, 2015 22 Explanation: d/dxsin^(-1)x=1/(sqrt(1-x^2))ddxsin−1x=1√1−x2 thereforedy/dx|_(x=3/5)=1/(sqrt(1-(3/5)^2))=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 1633 views around the world You can reuse this answer Creative Commons License