What is the derivative of this function y=7sin^-1(10x)? Calculus Differentiating Trigonometric Functions Differentiating Inverse Trigonometric Functions 1 Answer Ratnaker Mehta Jul 31, 2016 70/sqrt(1-100x^2). Explanation: y=7sin^-1(10x) rArr dy/dx=7*1/(sqrt(1-(10x)^2))*d/dx(10x)=7/(sqrt(1-100x^2))*10 =70/sqrt(1-100x^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 2636 views around the world You can reuse this answer Creative Commons License