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4 cards from this section. Quick, good the night before a test.
Identify if the function f(x) = 2x + 3 is increasing or decreasing.
Check the derivative.
What is the derivative of f(x) = 3x^2 + 5?
Differentiate using power rules.
What does it mean for a function to be increasing?
Think about the definition of increasing functions.
True or False: A local minimum occurs when the first derivative changes from negative to positive.
Recall the first derivative test.
A farmer has a rectangular piece of land with a fixed perimeter of 100 meters. Determine the dimensions that maximize the area of the field.
Express width in terms of length and apply the area formula.
Given the function f(x) = -3x^2 + 4x + 5, find the coordinates of the vertex and determine if it is a maximum or minimum.
Use the vertex formula x = -b/(2a) for the maximum point of a parabola.
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