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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) = 4𝑥^2.
💡 Hint: Use the Power Rule: Multiply the exponent by the coefficient.
Question 2
Easy
What is the derivative of 𝑓(𝑥) = 7𝑥^5?
💡 Hint: Apply the same multiplication to the exponent.
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) = 8𝑥^3?
- 24𝑥^2
- 16𝑥²
- 3𝑥^2
💡 Hint: Multiply the exponent by the coefficient and decrease the exponent.
Question 2
True or False: The derivative of any constant function is equal to zero.
- True
- False
💡 Hint: Think about how a flat line behaves.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the function 𝑓(𝑥) = 4𝑥^5 - 2𝑥^3 + 7𝑥, find its derivative and evaluate at 𝑥 = 2.
💡 Hint: Remember to differentiate each term independently and then substitute.
Question 2
Find the derivative of 𝑓(𝑥) = -3𝑥^6 + 8𝑥^2 - 4 and determine its critical points.
💡 Hint: Set derivative to zero for critical points and factor where needed.
Challenge and get performance evaluation