Practice - Step-by-Step Method for Finding Maxima/Minima
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Practice Questions
Test your understanding with targeted questions
What is a critical point?
💡 Hint: Think about where the slope of the tangent line is zero.
Define local maxima and minima in your own words.
💡 Hint: Consider how hills and valleys look on a graph.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is a critical point?
💡 Hint: Think about where the slope of the function changes.
True or False: A local minimum occurs when the first derivative changes from negative to positive.
💡 Hint: Consider the sound of a valley on a graph.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
A farmer wants to fence a rectangular area of 200 m². Determine the dimensions that would minimize the fencing needed.
💡 Hint: Set area = length * width and use the perimeter formula to create equations.
A box with a square base and an open top must have a volume of 500 cm³. Find the dimensions that minimize the material needed.
💡 Hint: Use volume constraints to express the height in terms of base area and apply derivatives.
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