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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Identify whether f(x) = 2x + 3 is increasing or decreasing.
💡 Hint: Check the derivative.
Question 2
Easy
Find the critical point of f(x) = x² - 4.
💡 Hint: Set the derivative to zero.
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 does it mean if f'(x) > 0?
- Increasing
- Decreasing
- Constant
💡 Hint: Recall the definition of increasing functions.
Question 2
When do we apply the second derivative test?
- True
- False
💡 Hint: Consider when f'(c) = 0.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A rectangular garden is to be constructed using 100 m of fencing. What dimensions will maximize the garden's area?
💡 Hint: Use the perimeter to find relationships between length and width.
Question 2
If the temperature T of an object is given by T(t) = 20 + 10e^(-0.5t)°C, how does the temperature change with time?
💡 Hint: Differentiate T(t) with respect to t.
Challenge and get performance evaluation