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Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the derivative of f(x) = x²?
💡 Hint: Use the Power Rule.
Question 2
Easy
Using the Sum Rule, find the derivative of f(x) = 3x + 5.
💡 Hint: Differentiate each term separately.
Practice 4 more questions and get performance evaluation
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What does the derivative f'(x) represent?
💡 Hint: Think about how f(x) is changing.
Question 2
True or False: The Power Rule states that the derivative of xⁿ is nxⁿ⁻¹.
💡 Hint: Calculate the derivative and identify the coefficients.
Solve 1 more question and get performance evaluation
Push your limits with challenges.
Question 1
If the cost function is C(x) = 5x² + 4x + 50, find the marginal cost using differentiation.
💡 Hint: Take the derivative with respect to x.
Question 2
Given f(t) = 3t³ - 5t² + 2t, determine the points where local maxima and minima occur.
💡 Hint: Don't forget to check for second derivatives!
Challenge and get performance evaluation