Practice - Key Takeaways
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 a critical point?
💡 Hint: Think about where the function's slope equals zero.
Explain the purpose of the first derivative test.
💡 Hint: Consider how the sign of the derivative changes.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is a critical point?
💡 Hint: Remember the definition of critical points.
In the first derivative test, what indicates a local minimum?
💡 Hint: Think about how the slope changes.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Find the local maxima or minima of the function f(x) = x^3 - 6x^2 + 9x + 1.
💡 Hint: Use the second derivative to confirm.
A farmer has 100 meters of fencing to create a rectangular enclosure. What dimensions will maximize the area?
💡 Hint: Remember the perimeter constraint P = 2l + 2w.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.