Calc 1: Differential Calculus

Lecture 20: Approximations and Differentials

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In this video, we talk about the tangent line approximation and differentials, and we use differentials to prove the derivative rules for sine and cosine in a geometric way.

Here are some videos from 3Blue1Brown's "Essence of calculus" series that extend the topics from this section.

• Essence of calculus, chapter 10: Higher order derivatives
• Essence of calculus, chapter 11: Taylor series