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4 cards from this section. Quick, good the night before a test.
Find the critical points for f(x) = x^2 - 4x + 4.
Set the first derivative f'(x) equal to zero.
What does it mean if f''(c) > 0?
Think about concavity.
What indicates a local maximum in the Second Derivative Test?
Think about how concavity relates to maxima.
True or False: The Second Derivative Test can always definitively classify critical points.
Consider scenarios when the second derivative doesn't provide clarity.
Given the function f(x) = x^4 - 4x^3 + 4x, find and classify all of its critical points.
Calculate the first and second derivatives.
Using the function f(x) = x^3 - 9x + 7, determine if there exist any points of inflection.
After calculating the second derivative, remember to check signs in the intervals.
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