Practice - Special Cases
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Practice Questions
Test your understanding with targeted questions
What occurs at a point where the derivative is undefined?
💡 Hint: Think about what a vertical line represents.
What is a horizontal tangent?
💡 Hint: Consider when a function has a flat section.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What type of tangent occurs when the derivative equals zero?
💡 Hint: Think about flat slopes.
True or False: A vertical tangent occurs where the slope is defined and finite.
💡 Hint: Remember the definition of a vertical line.
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Challenge Problems
Push your limits with advanced challenges
Consider the function f(x) = tan(x). Find and explain the locations of vertical and horizontal tangents.
💡 Hint: 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.
💡 Hint: Use derivatives to unveil the tangent behaviors.
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Reference links
Supplementary resources to enhance your learning experience.