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3 cards from this section. Quick, good the night before a test.
Define a critical point.
Think about what the first derivative indicates about the function.
What is the first derivative test used for?
Consider how the function behaves before and after the critical point.
What do critical points signify in a function?
Think about what information the first derivative provides.
True or False: A local minimum is a point that is lower than all points in the domain.
Reflect on the definition of local minima.
A farmer wants to create a rectangular fence for a section of land using 200 meters of fencing. How should the dimensions be chosen to maximize the area? Provide a detailed solution.
Ensure to express area in terms of one variable and differentiate.
Given the function f(x) = 4x - x², find the maximum value and its corresponding x-coordinate. Provide detailed workings.
Perform the first derivative test to locate the maximum.
5 more questions in this section. Enroll free to practise them all.
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