What is the derivative of this function y=29/4cot^-1((2x)/3)? Calculus Differentiating Trigonometric Functions Differentiating Inverse Trigonometric Functions 1 Answer James May 13, 2018 the answer y'=-(58)/[12[1+((2x)/3)^2]] Explanation: show below: y=cot^-1(x) y'=[-1*x']/(1+(x)^2) y=29/4cot^-1((2x)/3) y'=29/4*-(2/3)/[1+((2x)/3)^2] y'=-(58/12)/[1+((2x)/3)^2] y'=-(58)/[12[1+((2x)/3)^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 1486 views around the world You can reuse this answer Creative Commons License