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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