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4 cards from this section. Quick, good the night before a test.
What is a derivative?
Think about how steep the curve is at a point.
What does it mean if f'(x) > 0?
Is the function going up or down?
What indicates that a function is increasing?
Think of the slope of the graph.
True or False: The second derivative test can be used to confirm both maxima and minima.
What does the second derivative tell us about the curve's shape?
Determine the number of toys a factory must produce to minimize production cost if the cost function is given by C(x) = 3x^2 + 15x + 50.
Don't forget to check the second derivative for confirmation!
Using the function f(x) = x^4 - 8x^3 + 18x^2, find the points of inflection and classify local extrema using the second derivative test.
Evaluate the second derivative where f'(x) = 0 for classification!
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