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Calculus I Study Guide: Functions, Limits, Derivatives, and Applications

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Exponential Functions

  • Exponential Functions
    6:13
  • The Number e
    4:47
  • Graphs of Exponential Functions
    5:46

Logarithmic Functions

  • Logarithms Introduction
    7:30
  • The Natural Log
    2:51
  • Graphs of Logarithmic Functions
    5:26

Exponential & Logarithmic Equations

  • Solving Exponential Equations Using Like Bases
    4:46
  • Solving Logarithmic Equations
    5:02
  • Solving Exponential Equations Using Logs
    5:47

Inverse Trigonometric Functions

  • Example 1
    1:58
  • Inverse Tangent
    3:17
  • Inverse Cosine
    4:49

Trigonometric Identities

  • Verifying Trig Equations as Identities
    7:17
  • Simplifying Trig Expressions
    6:36
  • Simplifying Trig Expressions Example 2
    5:18

Introduction to Limits

  • Cases Where Limits Do Not Exist Example 2
    03:33
  • Finding Limits Numerically and Graphically
    6:47
  • Cases Where Limits Do Not Exist
    03:07

Finding Limits Algebraically

  • Limits of Rational Functions with Radicals
    06:13
  • Limits of Rational Functions: Denominator = 0 Example 1
    03:17
  • Limits of Rational Functions with Radicals Example 3
    02:54

Continuity

  • Intro to Continuity
    05:34
  • Intro to Continuity Example 2
    00:57
  • Determine Continuity Algebraically
    05:25

Piecewise Functions

  • 가이드 코스
    Piecewise Functions Example 1
    02:59
  • 가이드 코스
    Piecewise Functions
    05:36

Tangent Lines and Derivatives

  • 가이드 코스
    Slopes of Tangent Lines
    05:13
  • 가이드 코스
    Determine Continuity Algebraically Example 1
    05:10
  • 가이드 코스
    Equations of Tangent Lines
    05:14

Basic Rules of Differentiation

  • The Power Rule: Negative & Rational Exponents
    04:09
  • The Power Rule: Negative & Rational Exponents Example 1
    03:37
  • The Power Rule
    04:02

Implicit Differentiation

  • 가이드 코스
    Finding The Implicit Derivative
    05:14
  • 가이드 코스
    Finding The Implicit Derivative Example 1
    09:16

Derivatives of Inverse Trigonometric Functions

  • Derivatives of Other Inverse Trigonometric Functions
    06:35
  • Derivatives of Inverse Sine & Inverse Cosine Example 1
    03:36
  • Derivatives of Inverse Sine & Inverse Cosine
    07:26