AP®︎ Calculus AB: Topic 3.6 Practice Test
Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 3.6 of AP Calculus AB – Calculating Higher-Order Derivatives.
Questions List
Topic 3.6
Question 1 Easy
If , then
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Explore the learning objectives taken directly from the College Board’s AP® Calculus AB Curriculum. Ensure you’re prepared for the exact topics covered on the AP® exam, in-class tests, and quizzes, and gain confidence in your mastery of the material.

Topic 3.6: Calculating Higher-Order Derivatives
Learning Objective: FUN-3.F
Determine higher order derivatives of a function.
Essential Knowledge: FUN-3.F.1
Differentiating f' produces the second derivative f'', provided the derivative of f' exists; repeating this process produces higher-order derivatives of f.
Essential Knowledge: FUN-3.F.2
Higher-order derivatives are represented with a variety of notations. For y = f(x), notations for the second derivative include d^2y/dx^2, f''(x), and y''. Higher-order derivatives can be denoted d^n y/dx^n or f^(n)(x).