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5 cards from this section. Quick, good the night before a test.
Determine if f(x) = 2x + 3 is increasing or decreasing.
Check the sign of the derivative.
Find the first derivative of f(x) = 4x² - 5.
Apply the power rule for derivatives.
What is true about increasing functions?
Remember the definition of increasing functions.
True or False: The local maximum occurs where the first derivative changes from positive to negative.
Think about how the slope behaves at maximum points.
A farmer wants to create a rectangular field with a fixed area of 500 m². What should be the dimensions of the field that minimize the perimeter?
Express perimeter in terms of one variable and set up an optimization problem.
Find the maximum volume of a rectangular box with a square base and open top, given a surface area of 600 m².
Use surface area constraints to derive volume in a single variable and optimize.
6 more questions in this section. Enroll free to practise them all.
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