Professional Courses
Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.
Categories
Interactive Games
Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
Typing
Memory
Math
English Adventures
Knowledge
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 mock test.
Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Calculate the AROC for f(x) = 2x + 3 from x = 1 to x = 4.
💡 Hint: Use the slope formula for secant line.
Question 2
Easy
What is the IROC of f(x) = 1/x at x = 1?
💡 Hint: Calculate the limit as h approaches 0.
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 formula for Average Rate of Change?
- (f(b) - f(a)) / (b - a)
- (b - a) / (f(b) - f(a))
- (f(a) + f(b)) / (b - a)
💡 Hint: Think about how distance is divided by time.
Question 2
True or False: The instantaneous rate of change is found by evaluating the slope of the tangent line.
- True
- False
💡 Hint: Recall the definitions of tangent lines.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A cyclist travels along a path described by the equation D(t) = t^3 - 12t^2 + 36t, where D is distance in meters and t is time in seconds. Calculate the AROC from t = 1 to t = 5 and the IROC at t = 3.
💡 Hint: Calculate function values first for AROC and derive before substituting for IROC.
Question 2
The height of a projectile is given by h(t) = -4.9t^2 + 20t + 5. Determine the AROC from t = 0 to t = 3 and the IROC at t = 2.
💡 Hint: Apply the same approach: compute heights, then find derivatives.
Challenge and get performance evaluation