6.1 - Definition
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Practice Questions
Test your understanding with targeted questions
Define an increasing function.
💡 Hint: Think about comparing values of the function.
What does it mean for a function to be decreasing?
💡 Hint: Look at how the function's value changes.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What denotes a function as increasing?
💡 Hint: Think about how derivative signs affect function behavior.
True or False: A local maximum occurs where the derivative changes from negative to positive.
💡 Hint: Visualize how the function behavior changes at those points.
1 more question available
Challenge Problems
Push your limits with advanced challenges
You have a rectangular garden that must have a total perimeter of 100 meters. What dimensions yield the maximum area?
💡 Hint: Use the perimeter equation to express area as a function of one variable.
Analyze f(x) = -x^4 + 4x^2. Find the local extrema and classify them.
💡 Hint: Use first and second derivative tests to classify all critical points.
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