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Math 115 Practice Midterm – Step-by-Step Calculus Guidance

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Piecewise Functions

  • Guided course
    Piecewise Functions Example 1
    02:59
  • Guided course
    Piecewise Functions
    05:36

Properties of Functions

  • Guided course
    Properties of Functions
    06:21

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

Properties of Logarithms

  • Product, Quotient, and Power Rules of Logs
    3:49
  • Evaluate Logarithms
    5:14
  • Expand & Condense Log Expressions
    4:22

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

  • 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 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