Calc AB · U3
Differentiation: Composite, Implicit, Inverse
Extend derivative rules to composite, implicit, inverse, inverse trigonometric, mixed-procedure, and higher-order derivative problems.
Test yourself
A focused, distraction-free run through 30 multiple-choice questions. Hints if you need them; your score at the end.
Difficulty guide
The label describes the problem, not your ability.
1/5 - Foundational
Warm-up setup; checks one basic idea.
2/5 - Routine exam skill
Normal syllabus skill; usually one main rule or interpretation.
3/5 - Standard multi-step
Exam-style problem with multiple steps or a common trap.
4/5 - Hard exam skill
High-end exam problem; combines methods carefully.
5/5 - Challenge
Stretch problem beyond normal exam pressure.
Topic 3.1
The Chain Rule
Differentiating composite functions and combining chain rule with product or exponential rules
Topic 3.2
Implicit Differentiation
Finding derivatives from equations where x and y are related implicitly
Topic 3.3
Differentiating Inverse Functions
Using inverse-function derivative relationships from values, formulas, and tangent lines
Topic 3.4
Differentiating Inverse Trigonometric Functions
Using inverse trigonometric derivative rules in direct, chain, product, and tangent-line contexts
Topic 3.5
Selecting Procedures for Calculating Derivatives
Choosing and combining product, quotient, chain, implicit, and inverse-function derivative procedures
Topic 3.6
Calculating Higher-Order Derivatives
Computing and interpreting second and higher derivatives, including acceleration and implicit second derivatives