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4 cards from this section. Quick, good the night before a test.
What is a critical point?
Think about when the slope of the tangent is flat.
Classify the point where f'(x) changes from positive to negative.
What happens to the y-value?
A critical point is where the first derivative is:
Think about the definition of critical points.
True or False: A turning point is always a maximum.
Consider the definitions of maxima and minima.
Given the function f(x) = x^4 - 4x^3, find the critical points and classify each using both derivative tests.
Compute the first derivative and check the behavior around critical points.
A company finds that the profit P(x) = -x^2 + 20x - 50 depends on the number of products sold, x. Find the number of products that maximize profit.
Find the critical points and use the second derivative test to see if it's a maximum.
6 more questions in this section. Enroll free to practise them all.
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