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Calculus I: Differentiation, Continuity, and Applications Study Guide

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Continuity

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

Differentiability

  • Determining Differentiability Graphically
    05:02
  • Determining Differentiability Without A Graph
    05:20

Tangent Lines and Derivatives

  • Guided course
    Slopes of Tangent Lines
    05:13
  • Guided course
    Determine Continuity Algebraically Example 1
    05:10
  • Guided course
    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

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

Implicit Differentiation

  • Guided course
    Finding The Implicit Derivative
    05:14
  • Guided course
    Finding The Implicit Derivative Example 1
    09:16

Derivatives of Exponential & Logarithmic Functions

  • Derivatives of General Logarithmic Functions
    06:32
  • Derivative of the Natural Logarithmic Function
    05:18
  • Derivative of the Natural Exponential Function (e^x) Example 3
    02:38

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

Related Rates

  • Guided course
    Intro To Related Rates
    04:16
  • Guided course
    Real World Application
    06:16
  • Guided course
    Changing Geometries
    06:35

Motion Analysis

  • Guided course
    Derivatives Applied To Velocity
    06:29
  • Guided course
    Derivatives Applied To Acceleration Example 2
    06:51
  • Guided course
    Derivatives Applied To Acceleration
    06:15