AP Calculus BC

Unit 3: Differentiation: Composite, Implicit, and Inverse Functions

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AP Calculus BC

Unit 3: Differentiation: Composite, Implicit, and Inverse Functions

4–7% of exam score

The chain rule, implicit differentiation, derivatives of inverse and inverse trigonometric functions, and higher-order derivatives.

\frac{d}{dx} f(g(x)) = f'(g(x))\,g'(x)

What this unit covers

Chain rule
Implicit differentiation
Inverse and inverse trig derivatives
Higher-order derivatives

Other units in AP Calculus BC

Unit 1: Limits and Continuity
Unit 2: Differentiation: Definition and Fundamental Properties
Unit 4: Contextual Applications of Differentiation
Unit 5: Analytical Applications of Differentiation
Unit 6: Integration and Accumulation of Change
Unit 7: Differential Equations
Unit 8: Applications of Integration
Unit 9: Parametric Equations, Polar Coordinates, and Vector-Valued Functions
Unit 10: Infinite Sequences and Series