4 - Maxima and Minima (Optimization)
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Practice Questions
Test your understanding with targeted questions
Define the terms maxima and minima.
💡 Hint: Think about peaks and valleys.
State the first step to find critical points in a function.
💡 Hint: What happens to the slope of the function at these points?
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the significance of critical points in a function?
💡 Hint: Think about where the slope flattens.
True or False: A negative second derivative implies a local maximum.
💡 Hint: Consider the curvature of the graph.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Using the function f(x) = x^4 - 8x^2 + 16, find all local maxima and minima, and classify them using both derivative tests.
💡 Hint: You need to apply both first and second derivative evaluations after finding critical points.
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