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
What is a derivative?
💡 Hint: Think about how steep the curve is at a point.
Question 2
Easy
What does it mean if f'(x) > 0?
💡 Hint: Is the function going up or down?
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 indicates that a function is increasing?
- f'(x) < 0
- f'(x) = 0
- f'(x) > 0
💡 Hint: Think of the slope of the graph.
Question 2
True or False: The second derivative test can be used to confirm both maxima and minima.
- True
- False
💡 Hint: What does the second derivative tell us about the curve's shape?
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Determine the number of toys a factory must produce to minimize production cost if the cost function is given by C(x) = 3x^2 + 15x + 50.
💡 Hint: Don't forget to check the second derivative for confirmation!
Question 2
Using the function f(x) = x^4 - 8x^3 + 18x^2, find the points of inflection and classify local extrema using the second derivative test.
💡 Hint: Evaluate the second derivative where f'(x) = 0 for classification!
Challenge and get performance evaluation