Question #732ab Calculus Differentiating Trigonometric Functions Differentiating Inverse Trigonometric Functions 1 Answer sankarankalyanam Oct 23, 2017 y’ = 4/sqrt(x^2 - 2) Explanation: d /(dx) (cos^-1 x) = -1/sqrt(1-x^2)# y = cos ^-1 (2/x^2) :. y’ = (-1/(sqrt(1-(2/x^2))) * (-4/x)) y’ = (4/cancel(x))(cancel(x )/ (sqrt(x^2 - 2))) y’ = 4 / sqrt(x^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 1250 views around the world You can reuse this answer Creative Commons License