3.2 - Test Using Derivatives
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Practice Questions
Test your understanding with targeted questions
Define an increasing function.
💡 Hint: Think about the relationship between x and f(x).
What does f'(x) > 0 indicate?
💡 Hint: Consider how the output changes for greater input.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What indicates that a function is increasing?
💡 Hint: Think about how the derivative behaves!
True or False: A critical point occurs where f'(x) = 0.
💡 Hint: Rethink how we define critical points.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given the function f(x) = 2x^3 - 9x^2 + 12x, find the intervals of increase and decrease.
💡 Hint: Remember to check the signs of f' in each interval!
Determine the critical points and analyze f(x) = x^4 - 4x^3.
💡 Hint: Critical points are where the derivative is zero. Look carefully at the function’s behavior around these points.
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