Calculus Level 2 - Differentiation Basics

Welcome to Calculus Level 2: Differentiation Basics! Here, we delve into the fundamental concept of the derivative and explore its rules and applications. Choose a topic below to begin your exploration of differentiation!

Topic 1

Definition of a Derivative and Its Geometric Interpretation

Topic 2

Basic Differentiation Rules (Power, Constant, Sum, Difference)

Topic 3

Product and Quotient Rules

Topic 4

Chain Rule and Implicit Differentiation

Topic 5

Higher-Order Derivatives

Topic 6

Applications of Derivatives (Tangent Lines, Motion, Related Rates)

Topic 7

Increasing/Decreasing Functions and Extrema

Topic 8

Concavity, Inflection Points, and the Second Derivative Test

Topic 9

Curve Sketching Using Derivatives

Topic 10

L’Hôpital’s Rule and Indeterminate Forms