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📚 Linearization Formula and Differentials in Calculus
In this video, we’ll introduce the linearization formula and differentials. You’ll learn how to use tangent lines to approximate complicated functions and how to express changes in variables using differential notation.

🔍 What You’ll Learn in This Video:
✅ Linearization Formula
✔ L(x) = f(a) + f'(a)(x - a)

✅ Differential Notation for Linearization
✔ Actual change in x: dx or Δx
✔ Actual change in y: Δy = f(x + Δx) - f(x)
✔ Approximate change in y: dy = f'(x) * dx

By the end of this video, you’ll understand how linearization provides a simple way to approximate function values near a given point.

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Understand The Math offers clear, accessible, and engaging mathematics instruction for students and lifelong learners. I'm Cheryl Hile, the founder of Understand The Math, with a Ph.D. in Engineering Science and Applied Mathematics and over 25 years of university teaching experience. My goal is to provide accurate, high-quality math instruction through step-by-step explanations and carefully worked-out examples.

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