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3 cards from this section. Quick, good the night before a test.
Identify whether f(x) = 2x + 3 is increasing or decreasing.
Check the derivative.
Find the critical point of f(x) = x² - 4.
Set the derivative to zero.
What does it mean if f'(x) > 0?
Recall the definition of increasing functions.
When do we apply the second derivative test?
Consider when f'(c) = 0.
A rectangular garden is to be constructed using 100 m of fencing. What dimensions will maximize the garden's area?
Use the perimeter to find relationships between length and width.
If the temperature T of an object is given by T(t) = 20 + 10e^(-0.5t)°C, how does the temperature change with time?
Differentiate T(t) with respect to t.
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