Differentiating inverse trig functions review

Review the derivatives of the inverse trigonometric functions: arcsin(x), arccos(x), and arctan(x).

What are the derivatives of the inverse trigonometric functions?

ddxarcsin(x)=11x2\dfrac{d}{dx}\arcsin(x)=\dfrac{1}{\sqrt{1-x^2}}
ddxarccos(x)=11x2\dfrac{d}{dx}\arccos(x)=-\dfrac{1}{\sqrt{1-x^2}}
ddxarctan(x)=11+x2\dfrac{d}{dx}\arctan(x)=\dfrac{1}{1+x^2}
Want to learn more about these derivatives? Check out this video about inverse sine, this video about inverse cosine, and this video about inverse tangent.