What Can Derivatives Do? 🚀
Derivatives are used to find the **rate of change**, **optimize** functions (finding maximums and minimums), and **analyze the shape of a graph**. They help us understand a function's behavior in detail.
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Video: Derivative Applications 🎬
Watch this video to see how derivatives help us understand motion and function behavior.
Practice Problems
Answer questions about real-world derivative applications.
1) If $s(t)$ is position, what is $s'(t)$?
2) A function has a local maximum when its derivative is...
3) If $f'(x) > 0$ on an interval, is $f(x)$ increasing or decreasing?
4) Marginal cost is the derivative of what?
⚡ Application Speed Quiz
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