6 - Rate of Change
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Practice Questions
Test your understanding with targeted questions
What does the derivative represent?
💡 Hint: Think about how quantities relate to one another.
Give an example of a real-world application of the rate of change.
💡 Hint: Consider everyday activities involving movement.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the derivative represent in calculus?
💡 Hint: Focus on how one variable affects another.
True or False: Velocity is the derivative of displacement.
💡 Hint: Consider the definition of velocity.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
A balloon is being inflated and its radius is increasing at a rate of 4 cm/s. How fast is the volume changing when the radius is 5 cm?
💡 Hint: Differentiation properly and substitution is the key.
If the increase of a population is modeled by \( P(t) = 100e^{0.1t} \), find the rate of change of the population at t = 3.
💡 Hint: Focus on applying the chain rule correctly.
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