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Can you explain what a derivative is in calculus? I have an exam tomorrow.
Great question! Let's break down derivatives step by step. A **derivative** measures how a function changes as its input changes — essentially, it's the *rate of change* or the *slope of the tangent line* at any point on a curve.
Imagine you're driving a car. Your **speed** at any instant is the derivative of your **position**. If you've traveled 60 km in 1 hour, your average speed is 60 km/h — but your speedometer shows the derivative: your exact speed *right now*.
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Visual animations make derivatives intuitive — perfect for exam prep
Watch on YouTubeCan you give me a practice problem?
Absolutely! Here's a practice problem to test your understanding:
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