AP Calculus AB Derivatives of Inverse Functions Quiz: 10 Questions with Explanations
This inverse derivatives quiz for AP Calculus AB covers derivatives of inverse functions (Common Core AP CALC AB 3.3, AP CALC AB 3.4, AP CALC AB 3.5, AP CALC AB 3.6), with a free PDF to print.
Test yourself on derivatives of inverse functions, derivatives of inverse trigonometric functions, choosing differentiation methods and higher-order derivatives with 10 multiple-choice questions. Pick one answer for each question, then read the explanation to see why it is right and which common mistake the other choices represent.
AP Calculus AB · Common Core State Standards: AP CALC AB 3.3, AP CALC AB 3.4, AP CALC AB 3.5, AP CALC AB 3.6
Inverse derivatives quiz: 10 questions
Remember
- (f⁻¹)′(b) = 1/f′(a) where f(a) = b; evaluate f′ at a, not at b.
- d/dx sin⁻¹x = 1/√(1-x²), d/dx cos⁻¹x = -1/√(1-x²), d/dx tan⁻¹x = 1/(1+x²).
- The second derivative is the derivative of the first derivative; acceleration is the second derivative of position.
- Choose the rule by the outermost operation: sum, product, quotient or composition.
How to use this inverse derivatives quiz
Answer each question, read the explanation that appears, and keep track of your score. A score of 8 out of 10 or more means you are ready for the test.
Download the inverse derivatives quiz as a PDF with the button below and keep it with your notes.
Download the inverse derivatives quiz as a PDF with the button below and keep it with your notes.
All AP Calculus AB chapters: AP Calculus AB math.
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