(1.5 hours to learn)
A function is differentiable at a point x if it can be approximated by a linear function around x. The linear approximation can be computed in terms of the partial derivatives at x.
This concept has the prerequisites:
Core resources (read/watch one of the following)
→ Multivariable Calculus
An introductory multivariable calculus textbook.
Location: Section 13.6, "Increments and linear approximation," pages 889-895
→ Multivariable Mathematics
A textbook on linear algebra and multivariable calculus with proofs.
Location: Section 3.2, "Differentiability," pages 87-95
Supplemental resources (the following are optional, but you may find them useful)
→ MIT Open Courseware: Multivariable Caclulus (2010)
Video lectures for MIT's introductory multivariable calculus class.
Location: Lecture 27, "Approximation formula"
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