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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Calculate the derivative of f(x) = 2x^3.
💡 Hint: Use the power rule.
Question 2
Easy
What is the derivative of f(x) = 7 when x is constant?
💡 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 a constant function?
- 1
- 0
- Undefined
💡 Hint: Think about how a non-changing quantity behaves.
Question 2
True or false: The derivative measures the slope of the tangent line.
- True
- False
💡 Hint: Recall what the derivative represents.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Derive the function f(x) = 3x^3 - 4x^2 + 6 at the point x = 2. What is the equation of the tangent line at this point?
💡 Hint: Find the derivative and use point-slope form.
Question 2
Using the limit definition, find the derivative of f(x) = sqrt(x) at x = 4.
💡 Hint: Make sure to rationalize the numerator when applying the limit.
Challenge and get performance evaluation