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2 cards from this section. Quick, good the night before a test.
Define the derivative in your own words.
Think about what it means for a curve to be steep.
What is the mathematical notation for a derivative?
Consider what symbols represent rates of change.
What does the derivative represent?
Think about what happens to a function at a single point.
True or False: The derivative can be negative.
Consider how slopes work on a graph.
Consider the function f(x) = e^x. Use the limit definition to show that f'(0) = 1.
Use Taylor expansion or L'Hôpital's rule for simplification.
Prove that the derivative of f(x) = ln(x) at x = 1 is 1.
Recall properties of logarithms and their behavior near 1.
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