7 - Summary
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Practice Questions
Test your understanding with targeted questions
Identify whether f(x) = 2x + 3 is increasing or decreasing.
💡 Hint: Check the derivative.
Find the critical point of f(x) = x² - 4.
💡 Hint: Set the derivative to zero.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What does it mean if f'(x) > 0?
💡 Hint: Recall the definition of increasing functions.
When do we apply the second derivative test?
💡 Hint: Consider when f'(c) = 0.
1 more question available
Challenge Problems
Push your limits with advanced challenges
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.
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.
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