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Higher-Order Derivatives

Definition

Higher-order derivatives refer to taking derivatives multiple times. For example, if we take two derivatives of a function, we get its second derivative. Higher-order derivatives provide information about how fast rates change over time.

Related terms

Derivative Rules: A set of rules that help find the derivative of various functions, such as the power rule, product rule, and chain rule.

Concavity: Describes the shape of a graph and whether it curves upward or downward.

Taylor Series: An expansion of a function into an infinite sum of terms to approximate its value.

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Additional resources (1)

  • AP Calculus AB/BC - Unit 3 Overview: Differentiation: Composite, Implicit, and Inverse Functions

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About Us

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Resources

Cram Mode

AP Score Calculators

Study Guides

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AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.