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2 cards from this section. Quick, good the night before a test.
What occurs at a point where the derivative is undefined?
Think about what a vertical line represents.
What is a horizontal tangent?
Consider when a function has a flat section.
What type of tangent occurs when the derivative equals zero?
Think about flat slopes.
True or False: A vertical tangent occurs where the slope is defined and finite.
Remember the definition of a vertical line.
Consider the function f(x) = tan(x). Find and explain the locations of vertical and horizontal tangents.
Think of where the curve sharply rises or levels off.
Analyze the function f(x) = x^3 - 3x. Determine where vertical and horizontal tangents exist.
Use derivatives to unveil the tangent behaviors.
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