Search in Product Rule of Differentiation articles.
TL;DR: The product rule says \((fg)’ = f’g + fg’\). When you take the derivative of two functions multiplied together, you can’t just multiply their derivatives — you need each function paired with the other’s derivative. Key takeaways: Product rule: \((fg)’ = f’g + fg’\). It’s NOT \(f’g’\) — that’s the most common mistake students […]
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