• #### The Second Derivative Test for Relative Maximum and Minimum - Concept

##### Math›Calculus›Applications of the Derivative
How to show that polynomial functions are continuous functions.
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• #### Parallel and Skew Lines - Concept

##### Math›Geometry›Geometry Building Blocks
How to mark parallel lines, how to show lines are parallel, and how to compare skew and parallel lines.
• #### Trigonometric Identities - Problem 2

##### Math›Precalculus›Trigonometric Functions
How to use the unit circle to show that cosine is an even function, and sine and tangent are odd functions.
• #### Square Matrices - Problem 3

##### Math›Precalculus›Systems of Linear Equations and Matrices
How to show that two matrices are inverses (in the sense of matrix multiplication).
• #### Trigonometric Identities - Problem 2

##### Math›Trigonometry›Trigonometric Functions
How to use the unit circle to show that cosine is an even function, and sine and tangent are odd functions.
• #### Proving Two Functions are Inverses - Concept

##### Math›Algebra 2›Inverse, Exponential and Logarithmic Functions
How to use algebra to show that two functions are inverses.
• #### Parallel and Skew Lines - Concept

##### Math›Precalculus›Equations of Lines, Parabolas and Circles
How to mark parallel lines, how to show lines are parallel, and how to compare skew and parallel lines.
• #### Exponential Growth and Decay - Problem 8

##### Math›Algebra 2›Inverse, Exponential and Logarithmic Functions
Application of Newton's Law of Cooling to show how long it takes an item to cool.
• #### Continuous Functions - Problem 1

##### Math›Calculus›Limits and Continuity
How to show that polynomial functions are continuous functions by checking the properties of continuous functions.
• #### Intervals of Increase and Decrease - Problem 3

##### Math›Calculus›Applications of the Derivative
How to show that the limit does not exist by showing that the left-hand limit does not equal the right-hand limit.
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• #### Continuous Functions - Problem 3

##### Math›Calculus›Limits and Continuity
How to show that compositions of continuous functions are continuous functions by checking continuity rules for the composition.
• #### The Second Derivative Test for Relative Maximum and Minimum - Problem 2

##### Math›Calculus›Applications of the Derivative
How to show that compositions of continuous functions are continuous functions.
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None
• #### Pythagorean Theorem Proofs - Concept

##### Math›Trigonometry›Pythagorean Theorem
How to prove the Pythagorean Theorem using Algebra to show the area of the smaller square plus the area of four triangles is equal to the area of the larger square.
• #### Proving Two Functions are Inverses - Problem 1

##### Math›Algebra 2›Inverse, Exponential and Logarithmic Functions
How to use composition of functions to show two functions are inverses.
• #### Pythagorean Theorem Proofs - Concept

##### Math›Geometry›Pythagorean Theorem
How to prove the Pythagorean Theorem using Algebra to show the area of the smaller square plus the area of four triangles is equal to the area of the larger square.
• #### The Cross Product of Vectors - Problem 1

##### Math›Precalculus›Systems of Linear Equations and Matrices
How to show that when you reverse the order of a cross product, you get the opposite result.
• #### The Cross Product of Vectors - Problem 2

##### Math›Precalculus›Systems of Linear Equations and Matrices
How to show that the cross product of vectors u and v is perpendicular to both u and v.
• #### One-Sided Limits - Concept

##### Math›Calculus›Limits and Continuity
How to use one-sided limits to show that a limit does not exist.
• #### Bonus Math Content

##### Test Prep›ACT›ACT Math
Short, helpful video on ACT Trigonometry by top ACT prep instructor, Devorah. Videos are produced by leading online education provider, Brightstorm.
• #### Proving Two Functions are Inverses - Problem 2

##### Math›Algebra 2›Inverse, Exponential and Logarithmic Functions
How to use composition of functions to show two functions are not inverses.