AP®︎ Calculus BC: 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 BC – Calculating Higher-Order Derivatives.
Questions List
Topic 3.6
Question 1 Easy
Let be a twice-differentiable function defined for all real numbers. For any real number , is equal to which of the following?
What You’re Being Tested On:
Explore the learning objectives taken directly from the College Board’s AP® Calculus BC 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).
