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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the equation of the tangent line to f(x) = 2x + 1 at the point (2, 5)?
💡 Hint: Use the derivative which is constant 2 for this linear function.
Question 2
Easy
How do you find the slope of the tangent line to f(x) = x^3 at the point (1, 1)?
💡 Hint: Differentiate the function first.
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 the slope of the tangent line to f(x) = x^2 at x = 2?
- 2
- 4
- 6
💡 Hint: Differentiate f(x) first!
Question 2
True or False: The normal line to a curve at a given point is always parallel to the tangent line.
- True
- False
💡 Hint: Think about the relationship of slopes!
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given f(x) = x^2 - 4x + 5, find the coordinates of the point on the curve and the equations of the tangent and normal lines at x = 2.
💡 Hint: Evaluate function and derivative first.
Question 2
For the function f(x) = ln(x), derive the equation of the tangent line at x = 1 and explain the significance.
💡 Hint: Find f'(1) for the slope.
Challenge and get performance evaluation