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AP Calculus AB›Unit 3: Differentiation: Composite, Implicit, and Inverse Functions›Advanced derivatives

Derivatives of Inverse Trig Functions

arcsin, arccos, and arctan have algebraic derivatives: 1/√(1−x²), −1/√(1−x²), and 1/(1+x²).

arcsin, arccos, arctan
With the chain rule
Where the formulas come from

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3Differentiation: Composite, Implicit, and Inverse Functions

Chain Rule
Implicit Differentiation
Derivatives of Inverse Functions
Derivatives of Inverse Trig Functions
Choosing the Right Derivative Rule
Higher-Order Derivatives

Next topic

Higher-Order Derivatives

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Also called: inverse trig derivatives, derivative of arcsin, derivative of arctan