What is terms in calculus?

• Limits: A limit is a concept used to describe the behavior of a mathematical function, as its input (the x-values) get closer and closer to a specific value. The limit concept is used to define important topics like continuity, derivatives, and integrals.

• Derivatives: A derivative is the instantaneous rate of change at a specific point on a function, and is used to describe the slope of a function at any point. Derivatives are used in many applications in science, engineering, and economics.

• Integrals: An integral is a mathematical concept that represents the accumulation of small parts of a function, over a specific interval. Integrals can be used to calculate areas, volumes, moments, and many other useful quantities in various scientific contexts.

• Functions: A function is a mathematical object that associates input values with output values, according to certain rules. Functions are used to model relationships between two or more variables, and are the basic building blocks of calculus.

• Continuity: A function is said to be continuous if it has no abrupt changes or jumps in its output values, as its input values change along a certain interval. The concept of continuity is important for understanding many calculus-related topics.

• Differentiability: A function is said to be differentiable if it has a well-defined derivative at each point in its domain. Differentiable functions are used to model many real-world phenomena, and form the basis of most of calculus.

• Taylor series: The Taylor series is a mathematical concept that allows us to represent many complex functions as infinite series of simpler polynomials. The Taylor series is used in many computational contexts, such as numerical approximation and optimization.