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4 cards from this section. Quick, good the night before a test.
Define local maximum and local minimum.
Think about the hills and valleys in a graph.
What is a critical point?
These points are where the slope is flat or does not exist.
What happens at a local maximum?
Think of hills where you walk to the top.
True or False: A local minimum can occur if the first derivative is positive.
Visualize how a curve behaves at its lowest point.
Given the function f(x) = x^4 - 8x^2 + 3, find the local maxima and minima and classify them using both the first and second derivative tests.
Look out for changes in the sign of the derivative around your critical points.
What is the global maximum of the function f(x) = -x^2 + 6x - 8 on the closed interval [0, 5]?
Make sure to include evaluations at the boundaries!
5 more questions in this section. Enroll free to practise them all.
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