4. Calculus
Calculus serves as a vital branch of mathematics focused on change and motion, providing the foundational concepts of limits, continuity, and differentiation. Understanding these principles allows for the analysis of rates of change and the slopes of curves which is crucial in various scientific fields. Through this chapter, learners will explore how to compute derivatives and apply basic rules for differentiation in practical situations.
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Sections
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What we have learnt
- Calculus deals with concepts of change and motion.
- Limits help define continuity and derivatives.
- Differentiation measures how the function value changes as its input changes.
Key Concepts
- -- Limit
- The value that a function approaches as the input approaches a particular point.
- -- Continuity
- A function is continuous at a point if the limit of the function at that point is equal to the function value.
- -- Derivative
- The measure of how a function changes as its input changes, calculated as the limit of the average rate of change as the interval approaches zero.
- -- Differentiation Rules
- Basic rules including Constant Rule, Power Rule, Sum and Difference Rule, and Constant Multiple Rule that assist in finding derivatives.
Additional Learning Materials
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