Calculus
Definition
Calculus is a branch of mathematics that deals with rates of change and accumulation. It involves the study of derivatives (instantaneous rates of change) and integrals (accumulation or area under a curve).
Analogy
Think of calculus as a tool that helps you measure how fast something is changing or how much something has accumulated over time. It's like using a speedometer to see how quickly your car is accelerating or using a fuel gauge to track how much gas you've used on a road trip.
Related terms
Derivative: The derivative measures the rate at which a function changes at any given point. It represents the slope of the tangent line to the graph of the function.
Integral: The integral calculates the accumulation or total amount represented by a function over an interval. It finds the area under the curve.
Limit: A limit determines what value a function approaches as its input approaches a certain value, either from one side or both sides. It helps analyze behavior near specific points on graphs.
"Calculus" appears in:
Subjects (2)
Resources
© 2024 Fiveable Inc. All rights reserved.
AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.