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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the definition of a normal line?
💡 Hint: Think about the relationship between tangent and normal.
Question 2
Easy
How do you calculate the slope of the normal given the tangent slope?
💡 Hint: What happens to the tangent's slope?
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 normal line in relation to the tangent?
- Equal
- Negative reciprocal
- Opposite
💡 Hint: Think about how they relate geometrically.
Question 2
The normal to a curve at a point is always perpendicular to the tangent line.
- True
- False
💡 Hint: What does perpendicular mean?
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Find the normal line for y = 1/x at x = 1.
💡 Hint: Calculate the derivative and substitute values accordingly.
Question 2
Analyze the function y = sin(x) at x = π/2 and derive the normal line.
💡 Hint: Consider the properties of the sine function and its slopes at key points.
Challenge and get performance evaluation