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5 cards from this section. Quick, good the night before a test.
What is a critical point?
Think about where the function changes direction.
What does a positive second derivative indicate at a critical point?
Focus on the shape of the graph.
What do we call points where the first derivative is zero?
Focus on what defines these special points.
True or False: A local minimum has a positive second derivative.
Think about the shape of the graph at the minimum.
Given the function f(x) = 3x^4 - 8x^3 + 12x^2 - 5, identify all critical points and classify them using both derivative tests.
Apply both tests for a comprehensive analysis.
A cylinder's volume is represented by V(r) = πr^2h. If the height is constant at 10 cm, find the radius that maximizes the volume.
Focus on the volume expression to simplify the terms!
6 more questions in this section. Enroll free to practise them all.
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