The partial derivative of f(x, y) with respect to y at the point (x,y) is f(x+h,y)-f(x,y) h B f(x +h,y)-f(x, y₁) ho f(x,yo+h)-f(x, y₁) h h→0 lim h→0 lim h→0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The partial derivative of f(x, y) with respect to y at the point (x,y) is
lim f (x + h, y₁) − ƒ (x₂Y₁)
h→0
h
B
f(x +h,y)-f(x,y)
ho
ƒ(x¸‚Y₁ +h)− ƒ (xo, Y₁)
h
h→0
lim
h→0
!
Transcribed Image Text:The partial derivative of f(x, y) with respect to y at the point (x,y) is lim f (x + h, y₁) − ƒ (x₂Y₁) h→0 h B f(x +h,y)-f(x,y) ho ƒ(x¸‚Y₁ +h)− ƒ (xo, Y₁) h h→0 lim h→0 !
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