US Freshman Calc I

Limits at Infinity and Asymptotes: Read the Ends and Blow-Ups

Derivative Tests: Read the Shape of a Graph

Rolle’s Theorem and the Mean Value Theorem: When Does a Secant Become a Tangent?

Absolute Extrema: Use Critical Points and Endpoints

Linear Approximations and Differentials: Estimate Nearby Values

Related Rates: Connect Changing Quantities Step by Step

Exponential and Logarithmic Derivatives: Four Rules and x^x

Implicit Differentiation: Find Slopes Without Solving for y

The Chain Rule: Differentiate Composite Functions

Derivatives of Trigonometric Functions: The Six Rules

Differentiation Rules: Power, Product, and Quotient

The Derivative: From Secant Slopes to Instantaneous Change