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 practice test.
Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Find the derivative of f(x) = x^2.
💡 Hint: Use the Power Rule.
Question 2
Easy
What is the derivative of f(x) = x^5?
💡 Hint: Remember to apply the Power Rule.
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 derivative of f(x) = x^7?
- 7x^6
- 6x^7
- x^6
💡 Hint: What do you multiply and what do you subtract in the Power Rule?
Question 2
True or False: The Power Rule can only be applied to positive integers.
- True
- False
💡 Hint: Think of negative and fractional exponents.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove that d/dx[x^n] always results in n*x^(n-1) with an example.
💡 Hint: Think about the limit definition and how you calculate it for power functions.
Question 2
Combine the Power Rule with the Product Rule to differentiate f(x) = x^2 * ln(x).
💡 Hint: Remember the derivative of ln(x).
Challenge and get performance evaluation