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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) = 3𝑥^5 + 2.
💡 Hint: Use the power rule.
Question 2
Easy
What is the derivative of 𝑓(𝑥) = 7?
💡 Hint: Remember the constant 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) = 6𝑥^2?
- 6x
- 12x
- 0
💡 Hint: Remember the power rule!
Question 2
True or False: The derivative of a constant is always zero.
- True
- False
💡 Hint: Think about the definition of a constant function.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the function f(x) = x^4 - 2x^3 + x, find its derivative and evaluate it at x = 2.
💡 Hint: Differentiate, then substitute x = 2.
Question 2
Using the limit definition of a derivative, find f'(a) for f(x) = 2x^2 + 5x.
💡 Hint: Expand the numerator and simplify before taking the limit.
Challenge and get performance evaluation