Practice - Definition of Derivative
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Practice Questions
Test your understanding with targeted questions
Define the derivative in your own words.
💡 Hint: Think about what it means for a curve to be steep.
What is the mathematical notation for a derivative?
💡 Hint: Consider what symbols represent rates of change.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What does the derivative represent?
💡 Hint: Think about what happens to a function at a single point.
True or False: The derivative can be negative.
💡 Hint: Consider how slopes work on a graph.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Consider the function f(x) = e^x. Use the limit definition to show that f'(0) = 1.
💡 Hint: Use Taylor expansion or L'Hôpital's rule for simplification.
Prove that the derivative of f(x) = ln(x) at x = 1 is 1.
💡 Hint: Recall properties of logarithms and their behavior near 1.
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