Introduction to Calculus

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Excerpt:

Introduction to Calculus

Title: Introduction to Calculus

Class: High School / College Level

Note:

Calculus is a fundamental branch of mathematics that deals with the concepts of change and motion. It provides a powerful framework for understanding and analyzing functions, change rates, and quantities accumulation. There are two main branches of calculus: differential calculus and integral calculus.

Differential Calculus: Differential calculus focuses on studying a function’s instantaneous rate of change. This involves finding the slope of a curve at a specific point, represented by the derivative of the function. The derivative measures how the output of a function changes when the input changes slightly. It’s denoted by dy/dx or fx (x) and provides insight into velocity, acceleration, and optimization concepts.