AP Calculus AB · Unit 3: Differentiation: Composite, Implicit, and Inverse Functions
3.3 Differentiating Inverse Functions
In short
You learn to apply your understanding of the chain rule to determine derivatives of inverse functions. Connecting graphs, tables, and algebraic reasoning is emphasized to build a solid conceptual understanding of the differentiation of inverse functions. (Note: Differentiating inverse trigonometric functions is explicitly reserved for Topic 3.4).
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Can you do these?
- I can calculate derivatives of inverse functions.
How is Differentiating Inverse Functions tested on the exam?
On the AP Exam, you may be assessed on differentiating inverse functions using select values provided in tables and graphs. Questions often focus on inverses of functions with names other than f and g. You are expected to confirm that their solutions are accurate and appropriate (Mathematical Practice 3.G).
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Differentiating Inverse Functions: common questions
What do you need to know about Differentiating Inverse Functions for AP Calculus AB?
You learn to apply your understanding of the chain rule to determine derivatives of inverse functions. Connecting graphs, tables, and algebraic reasoning is emphasized to build a solid conceptual understanding of the differentiation of inverse functions. (Note: Differentiating inverse trigonometric functions is explicitly reserved for Topic 3.4).
How is Differentiating Inverse Functions tested on the AP Calculus AB exam?
On the AP Exam, you may be assessed on differentiating inverse functions using select values provided in tables and graphs. Questions often focus on inverses of functions with names other than f and g.
How do I know I have mastered Differentiating Inverse Functions?
Check you can do each of these: calculate derivatives of inverse functions.
Where does Differentiating Inverse Functions fit in AP Calculus AB?
Differentiating Inverse Functions is topic 3.3 in Unit 3: Differentiation: Composite, Implicit, and Inverse Functions of AP Calculus AB.
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