Practice - Rate of Change
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
Define the term 'derivative'.
💡 Hint: Think about how we measure speed or incline!
What does the slope of the tangent line to a curve represent?
💡 Hint: What do we use slopes for in graphs?
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the derivative of a constant function?
💡 Hint: Think about how a flat line behaves.
True or False: The derivative can represent the acceleration of an object.
💡 Hint: Consider the relationship between distance, velocity, and acceleration.
1 more question available
Challenge Problems
Push your limits with advanced challenges
A car's distance from a starting point is given by the function s(t) = 4t^2 - t^3. Find the maximum speed the car achieves in the interval 0 <= t <= 4.
💡 Hint: Look for points where speed changes.
The profit function for a company is given by P(x) = -2x^2 + 12x + 5. Determine the number of units sold that maximizes profit.
💡 Hint: What happens at the maximum profit point?
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.