3.6.1 - Tangents and Normals
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
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.
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.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the slope of the tangent line to f(x) = x^2 at x = 2?
💡 Hint: Differentiate f(x) first!
True or False: The normal line to a curve at a given point is always parallel to the tangent line.
💡 Hint: Think about the relationship of slopes!
1 more question available
Challenge Problems
Push your limits with advanced challenges
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.
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.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.