MATH 1071 • Midterm I + II • Calculus I

Equation Solving

Inequalities 1

Inequalities 2

Inequalities 3

Line Equations

Quadratic Functions (or Parabolas)

Periodic Functions

Graph of Trigonometric Functions 1

Graph of Trigonometric Functions 2

Domain of Functions

The Vertical Line Test (Function or not)

Even & Odd Functions

Combinations of Functions

The Horizontal Line Test

Inverse of Functions

Graphing Operations

Functions Graphing 1

Functions Graphing 2

Functions Graphing 3

Functions Graphing 4

Domain of Exponential Functions

Domain of Logarithmic Functions

Composite of Exponential & Logarithm

Inverse of Exponential & Logarithms

Exponential & Logarithmic Equations

Exponential Growth and Decay

Graph of Logarithmic Functions 1

Graph of Logarithmic Functions 2

Graph of Exponential Functions 1

Graph of Exponential Functions 2

Limits of Functions 1

Limits of Functions 2

Limits Rules

Limit of Trigonometric Functions I

Limit of Trigonometric Functions II

The Squeeze Theorem 1

The Squeeze Theorem 2

Practice Problems 1-2-3

Practice Problems 4-5-6

Practice Problem 7-8-9

Practice Problems (Squeeze Theorem) 1-2-3

Limits at Infinity 1

Limits at Infinity 2

Infinite Limits

Dominant Terms (Optional)

Vertical and Horizontal Asymptotes

Oblique Asymptotes

Continuity

Discontinuity and Continuous Extension

Intermediate Value Theorem I

Intermediate Value Theorem II

Practice Problems 1-2

Practice Problem 3

Practice Problem 4

Practice Problems 5

Practice Problem 1 (IVT)

Practice Problem 2 (IVT)

Rate of Change: Derivative at a Point

Derivative as a Function 1

Derivative as a Function 2

"Hidden" Derivative

Exam-like Question 1-2

Exam-like Question 3-4

Exam-like Question 5

Exam-like Question 6

Exam-like Question 7

Exam-like Question 8

Exam-like Question 9

Exam-like Question 10

Differentiability (with Limit Definition)

Differentiability (without Limit Definition)

Exam-like Question 1

Exam-like Question 2

Power Rule

Derivatives of Exponential & Logarithmic Functions

Product Rule

Quotient Rule

Derivatives of Trigonometric Functions

Exam-like Question 1

Exam-like Question 2

Exam-like Question 3

Exam-like Question 4

Exam-like Question 5

Exam-like Question 6

Exam-like Question 7

Exam-like Question 8

Exam-like Question 9

Exam-like Question 10

Exam-like Question 11

Exam-like Question 12

Exam-like Question 13

Exam-like Question 14

Exam-like Question 16

Exam-like Question 17

Exam-like Question 18-19-20

Chain Rule 1

Chain Rule 2

Exam-like Question 1

Exam-like Question 2

Exam-like Question 3

Exam-like Question 4

Exam-like Question 5

Exam-like Question 6

Exam-like Question 7

Exam-like Question 8

Exam-like Question 9

Exam-like Question 10

Exam-like Question 11

Exam-like Question 12

Exam-like Question 13

Exam-like Question 14

Exam-like Question 15

Exam-like Question 16

Geometrical Definition of Derivative

Equation of a Tangent Line 1

Equation of a Tangent line 2

Horizontal and Vertical Tangent

Exam-like Question 1

Exam-like Question 2

Exam-like Question 3

Exam-like Question 4

Exam-like Question 5

Exam-like Question 6

Implicit Differentiation 1

Implicit Differentiation 2

Tangent Lines of Implicit Functions

Exam-like Question 1

Exam-like Question 2

Exam-like Question 3

Exam-like Question 4

Exam-like Question 5

Exam-like Question 6

Logarithmic Differentiation

Exam-like Question 1

Exam-like Question 2-3

Exam-like Question 4

Inverse Trigonometric Functions

Derivatives of Inverse Trigonometric Functions

Exam-like Question 1-2

Exam-like Questions 3-4

Exam-like Question 5-6

Linear Approximation

Linear Approximation

Linear Approximation

Linear Approximation

Linear Approximation

Linear Approximation

Tangent Line and Linear Approximation

Linear Approximation

Mean Value Theorem 1

Mean Value Theorem 2

Mean Value Theorem 3

Mean Value Theorem 4

The Mean Value Theorem 1

The Mean Value Theorem 2

MVT & Differentiability

MVT & Differentiability

Challenging: Mean Value Theorem

Absolute Extremums

First Derivative Test & Extremum Values

Second Derivative & Concavity

Exam-like Question 1

Exam-like Question 2

Exam-like Question 3

Exam-like Question 4

Exam-like Question 5

Exam-like Question 6

Exam-like Question 7

Curve Sketching 1

Curve Sketching 2

Curve Sketching 3

Curve Sketching 4

Indeterminate Form 1 (0/0)

Indeterminate Form 2 (∞/∞)

Indeterminate Form 3 (0 x ∞)

Indeterminate Form 4 (∞ - ∞)

Indeterminate Form 5 - 6 (∞^0 and 0^0)

Indeterminate Form 7 (1 ^ ∞)

Solving Inequality

Solving Inequality

Equation of a Line

Equation of a Line

Quadratic Functions

Quadratic Functions

Quadratic Functions

Domain of Functions

Composite Function

Composite Function

Domain of Composite

Composite and Inverse

Inverse of Functions

Inverse of Functions

Inverse of Functions

Domain, Range and Inverse

Functions and Graphs

Graph Transformations

Graph Transformations

Exponential Function

Exponential and Logarithmic Functions

Limit of Functions

Limit of Functions

Limit of Functions

Limit of Functions

Limit of Functions

Unknown f(x) with Limit 1

Limit Rules

Limit of Piecewise Function

The Squeeze Theorem

The Squeeze Theorem

The Squeeze Theorem

Limits at Infinity

Limits at Infinity

Limits at Infinity

Limits at Infinity

Limits at Infinity

Infinite Limits

Infinite Limits

Infinite Limits

Limit of Trigonometric Functions

Asymptotes

Domain and Asymptotes

Asymptotes

Asymptotes

Limit

Limit

Continuity

Continuity

Discontinuity

Continuity and Squeeze Theorem

Continuity

Continuity

Discontinuity

Intermediate Value Theorem

Intermediate Value Theorem

Intermediate Value Theorem

Intermediate Value Theorem

Hidden Derivative

Differentiability (without Limit Definition)

Differentiability (without Limit Definition)

Differentiability

Equation of a Tangent Line

Equation of a Tangent Line

Horizontal Tangent Line

Implicit Differentiation

Implicit Differentiation

Logarithmic Differentiation

Logarithmic Differentiation

Inverse Trig. Functions

Inverse Trig. Functions

Derivative of Inverse

Absolute Extrema: Closed Interval

Absolute Extrema: Closed Interval

First Derivative Test: Increasing & Decreasing Functions

First Derivative Test & Concavity

Concavity and Inflections

Extreme Values

Inflection Point

Curve Sketching

Curve Sketching

Curve Sketching

Indeterminate Forms (L'Hopital's Rule)

Indeterminate Forms (L'Hopital's Rule)

Indeterminate Forms (L'Hopital's Rule)

Indeterminate Forms (L'Hopital's Rule)

Indeterminate Forms (L'Hopital's Rule)

Indeterminate Forms (L'Hopital's Rule)

Indeterminate Forms (L'Hopital's Rule)

Indeterminate Forms (L'Hopital's Rule)

Indeterminate Forms (L'Hopital's Rule)

Indeterminate Forms (L'Hopital's Rule)

Solving Inequality

Solving Inequality

Equation of a Line

Equation of a Line

Quadratic Functions

Quadratic Functions

Quadratic Functions

Domain of Functions

Composite Functions Operations

Inverse of Functions

Inverse of Functions

Domain, Range and Inverse

Graph Transformations

Graph Transformations 2

Domain and Inverse

Inverse of Functions

Exponential & Logarithmic Functions

Logarithmic Equations

Limit of Functions

Limit of Functions

Limit of Functions

Limit of Functions

Unknown f(x) with Limit 2

Limit of Piecewise Function

The Squeeze Theorem

The Squeeze Theorem

The Squeeze Theorem

Limits at Infinity

Limits at Infinity

Limits at Infinity

Limit at Infinity

Limits at Infinity

Infinite Limits

Infinite Limits

Infinite Limits

Infinite Limits

Limit of Trigonometric Functions

Asymptotes

Asmyptotes

Asymptotes

Limit

Limits of Functions

Continuity

Continuity

Discontinuity

Discontinuity

Discontinuity

Discontinuity

Continuous Extension

Intermediate Value Theorem

Intermediate Value Theorem

Intermediate Value Theorem

Intermediate Value Theorem

Hidden Derivative

Differentiability (without Limit Definition)

Differentiability (without Limit Definition)

Differentiability

Equation of a Tangent Line

Equation of a Tangent Line

Horizontal Tangent Line

Implicit Differentiation

Implicit Differentiation

Logarithmic Differentiation

Logarithmic Differentiation

Inverse Trig. Functions

Inverse Trig. Functions

Derivative of Inverse

Absolute Extrema: Closed Interval

Absolute Extrema: Closed Interval

First Derivative Test: Increasing & Decreasing Functions

First Derivative Test & Concavity

Concavity and Inflections

Curve Sketching

Curve Sketching

Curve Sketching

Indeterminate Forms (L'Hopital's Rule)

Indeterminate Forms (L'Hopital's Rule)

Indeterminate Forms (L'Hopital's Rule)

Indeterminate Forms (L'Hopital's Rule)

Indeterminate Forms (L'Hopital's Rule)

Indeterminate Forms (L'Hopital's Rule)

Indeterminate Forms (L'Hopital's Rule)

Indeterminate Forms (L'Hopital's Rule)

Indeterminate Forms (L'Hopital's Rule)

Indeterminate Forms (L'Hopital's Rule)

Indeterminate Forms (L'Hopital's Rule)