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3 cards from this section. Quick, good the night before a test.
Define an increasing function.
Think about comparing values of the function.
What does it mean for a function to be decreasing?
Look at how the function's value changes.
What denotes a function as increasing?
Think about how derivative signs affect function behavior.
True or False: A local maximum occurs where the derivative changes from negative to positive.
Visualize how the function behavior changes at those points.
You have a rectangular garden that must have a total perimeter of 100 meters. What dimensions yield the maximum area?
Use the perimeter equation to express area as a function of one variable.
Analyze f(x) = -x^4 + 4x^2. Find the local extrema and classify them.
Use first and second derivative tests to classify all critical points.
5 more questions in this section. Enroll free to practise them all.
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