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 1378 views around the world You can reuse this answer Creative Commons License