Question #1b68f Calculus Differentiating Trigonometric Functions Differentiating Inverse Trigonometric Functions 1 Answer Cesareo R. Apr 6, 2017 #dy/dx=-x/sqrt(tan(a^2)-x^2)# Explanation: Applying #tan# to both sides #x^2+y^2=tan(a^2)# now deriving #2xdx+2ydy=0# or #dy/dx = -x/y# but #y = sqrt(tan(a^2)-x^2)# so finally #dy/dx=-x/sqrt(tan(a^2)-x^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 1230 views around the world You can reuse this answer Creative Commons License