Calculus

This section introduces fundamental calculus concepts like limits, continuity, and differentiation, crucial for understanding rates of change.

Introduction

Calculus is the mathematical study of change and motion, essential for analyzing rates of change and slopes.

Limits

Limits are the values that functions approach as inputs approach specific points, fundamental for defining continuity and derivatives.

Concept Of Limit

The concept of limits examines the values that a function approaches as the input approaches a particular point.

Notation Of Limit

The notation of limits defines how to express the value that a function approaches as the input nears a particular point.

Continuity

Continuity establishes the concept of functions being uninterrupted at specific points.

Differentiation

Differentiation is the mathematical process of finding the derivative of a function, measuring how the function's value changes as its input changes.

Definition Of Derivative

The derivative of a function at a point is the limit of the average rate of change as the interval approaches zero.

Notation Of Derivative

This section defines the notation used to represent derivatives in calculus.

Basic Differentiation Rules

This section covers the fundamental rules for calculating derivatives of basic functions.

Differentiation Of Standard Functions

This section covers the derivatives of standard functions including polynomials, trigonometric, exponential, and logarithmic functions.