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 2499 views around the world You can reuse this answer Creative Commons License