Use the limit definition of partial derivatives to evaluate f_x(x, y) and f_y(x, y) for the following functions. f(x,y)=x/y

kuCAu 2020-11-02 Answered
Use the limit definition of partial derivatives to evaluate fx(x,y)andfy(x,y) for the following functions.
f(x,y)=xy
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Expert Answer

curwyrm
Answered 2020-11-03 Author has 87 answers
Step 1
Given function is f(x,y)=xy
Step 2
Partial derivatives:
fx(x,y)=f(x,y)x
=limh0f(x+h,y)f(x,y)h
=limh0x+hyxyh
using LHospital
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Jeffrey Jordon
Answered 2022-01-31 Author has 2064 answers

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