Partial Differentiation and Mean Value Theorems — Study Resources & P…
Partial differentiation, Euler's theorem on homogeneous functions, Rolle's theorem and Mean Value Theorem.
- Estimated study time: 105 minutes
Study resources
- Dr. Gajendra Purohit (GP Sir) – Partial Differentiation playlist (Video) — Full Hindi/English playlist building partial derivatives from the limit definition through worked B.Tech problems. Best starting point for the topic.
- Class Central – Partial Differentiation (GP Sir, topic-wise list) (Article) — Organised list of GP Sir's partial-differentiation videos (Jacobians, total differentials, examples) so students can jump to a specific sub-topic.
- Unacademy – Euler's Theorem on Homogeneous Functions (Article) — Clear statement, proof and the 2- and 3-variable forms with the relation between partial derivatives and degree. GATE-oriented.
- Testbook – Homogeneous Function & Euler's Theorem (Article) — Definition of homogeneous functions, statement and step-by-step proof of Euler's theorem with solved examples.
- GeeksforGeeks – Rolle's & Lagrange's Mean Value Theorem (Article) — Statements, geometric meaning, proofs and verified numerical examples for both theorems on a closed interval.
- Paul's Online Notes – The Mean Value Theorem (Article) — Very clean derivation of Rolle's and the MVT with worked examples and the key consequences used later in calculus.
Taught in these subjects
- ENGINEERING MATHEMATICS-1 — BMAT11 · Government College of Engineering and Technology, Jammu