Lesson Overview:

 

• Evaluate functions

• Find Domain from functions

• Even and Odd Functions

• Find the slope of Secant line

• Use limit to find the Derivative of functions such as linear, Quadratic and rational functions

• Find the equations of tangent line

• Use derivative to find the vertex form of quadratic functions

Part A: Evaluate Functions

Video teaching how to evaluate functions: https://www.youtube.com/watch?v=v96pXLMsdJM

 

Examples:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Part B: Find Domain from Functions

 

Video explaining how to find the Domain from Functions: https://www.youtube.com/watch?v=ypjt7xOF74Y

 

Examples:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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Part C: Even and Odd Functions

This video teaches how to determine whether a function is even or odd: https://www.youtube.com/watch?v=uuZKvUvbbCA

 

Examples:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Part D: Find the slope of the secant line

Video teaching how to find the slope of the secant line: https://www.youtube.com/watch?v=SmeAYB2iEq8

 

Examples:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Part E: Use limit to find the Derivative of functions such as linear, Quadratic and rational functions

Video explaining how to finds he derivative of linear and quadratic functions: https://www.youtube.com/watch?v=_vF-QOTE5l8

Video explaining how to finds he derivative of rational functions:  https://www.youtube.com/watch?v=iMIh1dtk8Ao

Examples:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Part F: Find the Equation of the Tangent Line

 

This video teaches how to find the equation of the tangent line: https://www.youtube.com/watch?v=jh25BD2vvvI

Examples:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Part G: Use derivative to find the vertex form of quadratic functions

Video teaching how to use derivative to find the vertex form of quadratic functions: https://www.youtube.com/watch?v=sBi5zUT7h-c

Examples:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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ACT Testing Even and Odd Functions

 

 

 

 

 

 

 

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Real World Application of Derivatives

 

 

 

 

 

 

 

 

Conclusion:

In conclusion, you can use Cosine Law to solve for triangles when you are lacking one side or one angle. Make sure you label your triangle appropriately and to remember that your calculator is your best friend. You can use Sine Law to solve for triangles by knowing two sides and one angle or two angles and one side. Simply plug in the appropriate numbers into the formula and solve. It is important to keep in mind that sometimes it may be necessary to use Sine Law along with Cosine Law to solve for a triangle.