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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is a tangent line?
💡 Hint: Think about where the line meets the curve.
Question 2
Easy
What do we use to find the slope of a tangent?
💡 Hint: Remember, the derivative gives us the rate of change.
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 slope of the tangent represent?
- Rate of change of the function
- Length of the tangent
- Point where it touches the curve
💡 Hint: Consider what the derivative represents.
Question 2
True or False: The normal line is parallel to the tangent line.
- True
- False
💡 Hint: Think about their angles related to each other.
Solve 3 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
For the curve y = x^2 + 3x at the point (2, 10), find the equations of both the tangent and normal lines.
💡 Hint: Try calculating the point and derivative first!
Question 2
Given the function y = e^x, find tangent and normal lines at x = 0.
💡 Hint: Identify the function's behavior at the specified point.
Challenge and get performance evaluation