Perform parallel calculations to find equal slopes. Using the formula for the equation of the tangent line to a point, the resource sets out to find two points with a difference of one that have parallel tangent lines.The 25th video in a series of 31 calculates both tangent line equations. Setting the two slopes together, the presenter finds the values that have parallel tangent lines.

Concepts

tangent lines, parallel lines, derivatives, differential calculus, slope

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Additional Tags

math

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Instructional Ideas

• Lead a discussion on whether there is a simpler method 

Classroom Considerations

• The class should remember the relationship between the slopes of parallel lines
• Individuals should be able to solve quadratic equations

• This video is hosted on YouTube

Pros

• Shows all the steps in the process of simplifying the expressions
• Makes connections with the equations of the tangent lines

Cons

• Uses a more complex solution path than an easier, direct path