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This review focuses on the concepts of tangents and the instantaneous rate of change (IROC) in calculus. We explore the slope of a curve using the limit definition, examining how the function behaves as it approaches a point. Example problems illustrate the application of these concepts, including the conditions under which IROC exists. Additionally, the relationship between distance and time is discussed to provide real-world context. This review aims to clarify foundational calculus principles essential for further studies in mathematics.
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M439—Calculus A Section 2.4: Tangents and IROC
Concept Review: Slope of a Curve x+h x x+h x+h