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

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.3: Maxima And Minima
Problem 20E
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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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