5.2 - Example
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Practice Questions
Test your understanding with targeted questions
Define an increasing function.
💡 Hint: Think about how the function behaves as x increases.
What does it mean for a function to be decreasing?
💡 Hint: Imagine the slope of the function.
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Interactive Quizzes
Quick quizzes to reinforce your learning
A function is increasing on an interval if:
💡 Hint: Think about the direction of the graph.
Maxima occur where:
💡 Hint: Consider the first derivative test.
1 more question available
Challenge Problems
Push your limits with advanced challenges
A farmer wants to fence a rectangular area of 500 m² using only 200 m of fencing. What dimensions will maximize the area?
💡 Hint: Set up an equation with area and perimeter constraints.
For the function f(x) = x^4 - 12x^2 + 36, determine the global maximum and minimum on [-3, 3].
💡 Hint: Check both endpoints and critical points around the interval.
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