Question #a9b8b Calculus Differentiating Trigonometric Functions Differentiating Inverse Trigonometric Functions 1 Answer Anjali G Feb 27, 2017 #y=8sec(5x)# #y'=8(sec(5x)tan(5x))(5)# #y'=40sec(5x)tan(5x)# 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 1092 views around the world You can reuse this answer Creative Commons License