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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the derivative of f(x) = x^2?
💡 Hint: Use the power rule.
Question 2
Easy
If f(x) = x^3, what is f'(1)?
💡 Hint: Find the derivative then substitute x = 1.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What does the derivative represent?
- Tangent Line
- Slope
- Function's Maxima
💡 Hint: Think about what the derivative measures in a graph.
Question 2
True or False: A tangent line can intersect a curve at more than one point.
- True
- False
💡 Hint: Remember the definition of tangent.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Find the equation of the tangent line for f(x) = ln(x) at x = e.
💡 Hint: Compute the derivative and find f(e) first.
Question 2
Determine the slope of the tangent line for f(x) = tan(x) at x = π/4.
💡 Hint: Make sure to evaluate the derivative properly.
Challenge and get performance evaluation