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Analysis

Definition

Analysis refers to the study and examination of functions, limits, continuity, derivatives, and integrals in calculus.

Analogy

Imagine analysis as dissecting a complex machine to understand its inner workings. In calculus, we use analysis to break down functions into their components (limits, derivatives, etc.) so we can better comprehend their behavior.

Related terms

Limits: Limits determine what happens as variables approach certain values or infinity. They help us understand how functions behave near specific points.

Continuity: Continuity describes when there are no breaks or jumps in a function's graph. It ensures that there are no sudden disruptions or gaps in our understanding.

Differentiation: Differentiation involves finding derivatives, which tell us about rates of change and slopes at different points on a function's graph.

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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.