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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define what a tangent line is.
💡 Hint: Think about how it relates to the curve.
Question 2
Easy
What is the formula for the slope of the tangent?
💡 Hint: Remember, derivatives measure 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 is a tangent line?
- A curve crossing another
- A line that touches a curve at one point
- A horizontal line
💡 Hint: Think about how it interacts with the curve.
Question 2
True or False: The slope of a tangent line can be found using the first derivative of the function.
- True
- False
💡 Hint: Recall what derivatives represent.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Consider the function 𝑦 = 2𝑥³ - 3𝑥². Find the equation of the tangent line at x = -1.
💡 Hint: Evaluate each step carefully and remember how to find a point on the curve!
Question 2
What is the slope of the tangent line and equation at x = 0 for 𝑦 = 1/(𝑥² + 1)?
💡 Hint: Ensure you know the correct derivative rules and apply them.
Challenge and get performance evaluation