College Calculus for Students Cheat Sheet

Why is it helpful?

This guide is crafted to break down intricate calculus concepts into digestible, understandable chunks.

A must-have for students, it's designed to provide clear explanations, ensuring you grasp and retain knowledge.

Don't just pass your exams - excel with confidence, aided by this essential student companion.

What you will get:

A Guide packed with information about the topics:

• Limits and Continuity
  • Graphs and Limits
  • When Limits Fail to Exist
  • Limit Laws
  • The Squeeze Theorem
  • Limits using Algebraic Tricks
  • When the Limit of the Denominator is 0
  • Limits at Infinity and Graphs
  • Limits at Infinity and Algebraic Tricks
  • Continuity at a Point
  • Continuity on Intervals
  • Intermediate Value Theorem
• Basic Algebra and Functions
  • Rational Expressions
  • Difference Quotient
  • Lines: Graphs and Equations
  • Rational Functions and Graphs
  • Solving Rational Equations
• Trigonometry
  • Right Angle Trigonometry
  • Sine and Cosine of Special Angles
  • Unit Circle Definition of Sine and Cosine
  • Properties of Trig Functions
  • Graphs of Sine and Cosine
  • Graphs of Sinusoidal Functions
  • Graphs of Tan, Sec, Cot, Csc
  • Solving Basic Trig Equations
  • Trig Identities
  • Pythagorean Identities
  • Angle Sum and Difference Formulas
  • Solving Right Triangles
• Derivatives
  • Computing Derivatives from Definition
  • Interpreting Derivatives
  • Derivatives as Functions and Graphs of Derivatives
  • Proof that Differentiable Functions are Continuous
  • Power Rule and Other Rules for Derivatives
  • Higher Order Derivatives and Notation
  • Derivative of e^x
  • Proof of the Power Rule and Other Derivative Rules
  • Product Rule and Quotient Rule
  • Special Trigonometric Limits
  • Derivatives of Trig Functions
  • The Chain Rule
  • Implicit Differentiation
  • Derivatives of Exponential Functions
  • Derivatives of Log Functions
  • Logarithmic Differentiation
  • Derivatives of Inverse Trigonometric Functions
  • Related Rates - Distances
  • Related Rates - Volume and Flow
  • Related Rates - Angle and Rotation
  • Maximums and Minimums
  • First Derivative Test and Second Derivative Test
  • Extreme Value Examples
  • Mean Value Theorem
  • Derivatives and the Shape of the Graph
  • Linear Approximation
  • The Differential
  • L'Hospital's Rule
  • L'Hospital's Rule on Other Indeterminate Forms
  • Newtons Method
• Logarithms and Exponentials
  • Logarithms: Introduction
  • Log Functions and Their Graphs
  • Combining Logs and Exponents
  • Log Rules
  • Inverse Functions
  • Inverse Trig Functions
• Integration
  • Antiderivatives
  • Finding Antiderivatives Using Initial Conditions
  • Any Two Antiderivatives Differ by a Constant
  • Summation Notation
  • Approximating Area
  • The Fundamental Theorem of Calculus
  • The Substitution Method
  • Average Value of a Function