Derivative in R^n ( lecture 2)
Автор: Convergent Mathematical Academy
Загружено: 2025-07-20
Просмотров: 83
📘 Derivative in R^n : Chain Rule Explained | Multivariable Calculus Lecture
In this lecture from our "Calculus in R^n " series, we dive deep into the Chain Rule for functions between higher-dimensional spaces. We connect the rule with composition of functions, Jacobian matrices, and linear approximations.
We begin with a review of the single-variable chain rule and then generalize it to multivariable functions, helping you understand how derivatives behave in R^n . This is an essential tool for CSIR-NET, GATE, JAM, and higher studies in analysis and geometry.
🎯 Topics Covered:
1) The idea behind the chain rule
2)Derivative as a linear map
3)Role of the Jacobian matrix
4)Composition of differentiable functions
5)Practical examples to build intuition
👉 Whether you're a B.Sc., M.Sc. student, or preparing for competitive exams, this lecture will strengthen your conceptual understanding of multivariable differentiation.
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