A tangent is a straight line that touches a curve at a single point without crossing it, reflecting the curve's slope at that point. In mathematics, tangents are essential for understanding rates of change and are foundational in calculus for defining derivatives.

Tangent

tangent

straight line

A curve is a continuous and smooth flowing line without any sharp turns or angles, often representing a mathematical function or path in geometry and calculus. It can be described in various forms such as parametric, implicit, or explicit equations, and is fundamental in understanding the behavior of functions and shapes in both two and three dimensions.

curve

single point

rates of change

Calculus is a branch of mathematics that studies continuous change through the use of derivatives and integrals, serving as a foundational tool in fields such as physics, engineering, and economics. It enables the modeling and analysis of dynamic systems and the calculation of quantities like areas, volumes, and rates of change.

calculus

defining derivatives

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CUSTOMIZE YOUR LEARNING

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