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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Find the derivative of the function f(x) = 7.
💡 Hint: Remember that constant functions have a derivative of zero.
Question 2
Easy
What is the derivative of f(x) = 4x?
💡 Hint: Use the constant multiple 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
- c (constant)
💡 Hint: Think about how much a constant function changes value.
Question 2
What is the power rule for differentiation?
💡 Hint: Remember how to bring down the exponent and decrease it by one.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Differentiate the function f(x) = 4x^3 - 7x^2 + 3x and determine the slope of the tangent at x = 2.
💡 Hint: Use the power rule correctly and remember to substitute after differentiating.
Question 2
Explain how you would find the derivative of a piecewise function defined as: f(x) = { x^2 for x < 1, 2x for x ≥ 1.} What do you expect the derivative to be at x = 1?
💡 Hint: Check the definitions of each piece at the boundary.
Challenge and get performance evaluation