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Let f: R2 → R be a function which is differentiable at a point (x, y) e R2; then of f (x + h, y + k) -f (x, y) = of h+ k+ ho(h, k) + ky (h, k), %3D where o and y are functions of h, k tending to zero as h, k tend to zero simultaneously.

Let f: R2 → R be a function which is differentiable at a point (x, y) e R2; then of f (x + h, y + k) -f (x, y) = of h+ k+ ho(h, k) + ky (h, k), %3D where o and y are functions of h, k tending to zero as h, k tend to zero simultaneously.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let f: R2 → R be a function which is differentiable at a point (x, y) e R?; then of of f (x + h, y + k)-f (x, y) = h + k + ho(h, k) + ky (h, k), %3D where o and y are functions of h, k tending to zero as h,k tend to zero simultaneously.
Transcribed Image Text:Let f: R2 → R be a function which is differentiable at a point (x, y) e R?; then of of f (x + h, y + k)-f (x, y) = h + k + ho(h, k) + ky (h, k), %3D where o and y are functions of h, k tending to zero as h,k tend to zero simultaneously.
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