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2 cards from this section. Quick, good the night before a test.
What does the derivative of a function represent?
Think about what happens as the input changes.
If f'(x) = 0, what can we infer about f(x)?
Consider what a flat tangent line indicates.
What does the derivative measure?
Think about the relationship between inputs and outputs.
True or False: A critical point must be where the function is continuous.
Consider what critical points represent.
Given the function f(x) = -2x^3 + 12x^2 - 18x + 5, determine the critical points and classify them.
Don't forget the second derivative test!
Discuss how derivatives can be used to model real-life scenarios such as population growth or decay.
Think of how the population's growth rate relates to birth and death rates.
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