Partial Derivative — Multivariable Calculus скачать в хорошем качестве

Partial Derivative — Multivariable Calculus

In this video, we introduce partial derivatives and focus on what they really mean. We begin by reviewing the derivative from single-variable calculus, using the familiar limit definition. From there, we extend the idea to functions of multiple variables and explain how first-order partial derivatives measure change in specific directions. Rather than treating partial derivatives as just formulas, this video emphasizes intuition and geometry: • What does a partial derivative represent? • How is it related to tangent lines and tangent planes? We end by discussing differentiability in multivariable calculus. In the next video, we’ll continue this discussion by exploring second-order partial derivatives and what they tell us about the shape of a surface. #calculus #math #mathematics #partial #derivatives #first #order