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Calculus I: Core Concepts and Learning Objectives

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Lezioni curate abbinate al materiale che hai caricato – impara ogni argomento passo dopo passo.

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

Tangent Lines and Derivatives

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

Derivatives as Functions

  • Percorso guidato
    Derivatives
    05:44

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

Product and Quotient Rules

  • The Product Rule Example 1
    04:21
  • The Product Rule
    05:18
  • The Quotient Rule
    06:43

Derivatives of Trig Functions

  • Derivatives of Sine & Cosine
    03:53
  • Derivatives of Other Trig Functions Example 1
    01:32
  • Higher Order Derivatives of Sine & Cosine
    03:51

The Chain Rule

  • Intro to the Chain Rule Example 2
    07:39
  • Intro to the Chain Rule Example 3
    03:52
  • Intro to the Chain Rule Example 1
    07:01

Implicit Differentiation

  • Percorso guidato
    Finding The Implicit Derivative
    05:14
  • Percorso guidato
    Finding The Implicit Derivative Example 1
    09:16

Related Rates

  • Percorso guidato
    Intro To Related Rates
    04:16
  • Percorso guidato
    Real World Application
    06:16
  • Percorso guidato
    Changing Geometries
    06:35

Intro to Extrema

  • Finding Extrema Graphically Example 1
    04:45
  • Finding Extrema Graphically Example 2
    02:46
  • Finding Extrema Graphically
    05:58

The First Derivative Test

  • The First Derivative Test: Finding Local Extrema Example 3
    11:22
  • The First Derivative Test: Finding Local Extrema Example 2
    04:00
  • The First Derivative Test: Finding Local Extrema Example 4
    05:00

Applied Optimization

  • Intro to Applied Optimization: Maximizing Area
    10:13
  • Example 5: Packaging Design
    08:29
  • Example 4: Norman Window
    13:49

Linearization

  • Percorso guidato
    Linearization
    07:17

Differentials

  • Percorso guidato
    Finding Differentials
    05:53
  • Percorso guidato
    Determining Error and Relative Error
    04:57
  • Percorso guidato
    Determining Error and Relative Error Example 1
    04:46

Antiderivatives

  • Percorso guidato
    Antiderivatives
    05:50
  • Percorso guidato
    Finding a Particular Antiderivative
    05:13

Estimating Area with Finite Sums

  • Percorso guidato
    Estimating the Area Under a Curve with Right Endpoints & Midpoint
    05:59
  • Percorso guidato
    Estimating the Area Under a Curve with Right Endpoints & Midpoint Example 1
    09:17
  • Percorso guidato
    Estimating the Area Under a Curve Using Left Endpoints
    07:59

Introduction to Definite Integrals

  • Percorso guidato
    Basic Rules for Definite Integrals
    06:07
  • Percorso guidato
    Definition of the Definite Integral
    05:43

Fundamental Theorem of Calculus

  • Percorso guidato
    Fundamental Theorem of Calculus Part 2
    05:22
  • Percorso guidato
    Fundamental Theorem of Calculus Part 1
    06:11
  • Percorso guidato
    Fundamental Theorem of Calculus Part 1 Example1
    03:25

Substitution

  • Indefinite Integrals Example 1
    04:40
  • Substitution With an Extra Variable
    04:27
  • Definite Integrals
    06:36