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f(x,y) = (x + y ³) - Sin (x4) (0,0) { 1/₁2 X- 1 (x₁4) = (0,0) is given which of the following statements about the existence of the partial derivatives f (x, y) and fy (x,y) of f(x, y) at point (0,0), is true ? the a) fy (0,0) exists and is equal to fy (0,0) exists and is equal to 0 d) fx (0,0) does not exist fy 10, 01 exist and its b) fx(0,0) does not exsist equa fy (0,0) exists and equal to O C) FX (010) exists and is equal fy 1010) exists and is aqual 1 e) fx (0, 0) does not exist fy 100 does not exist

f(x,y) = (x + y ³) - Sin (x4) (0,0) { 1/₁2 X- 1 (x₁4) = (0,0) is given which of the following statements about the existence of the partial derivatives f (x, y) and fy (x,y) of f(x, y) at point (0,0), is true ? the a) fy (0,0) exists and is equal to fy (0,0) exists and is equal to 0 d) fx (0,0) does not exist fy 10, 01 exist and its b) fx(0,0) does not exsist equa fy (0,0) exists and equal to O C) FX (010) exists and is equal fy 1010) exists and is aqual 1 e) fx (0, 0) does not exist fy 100 does not exist

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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(x+y8 ).sin +42 1 (x(4) =(01O) giuen which of the following statements about the Is given which existence 1ond fy (x,4) off(x,4) at the of the partial deriuatives f(xxy! point (0,0,istrue? a fr(0,0) exists and is equol to fy 10,0) exIsts and is equal to O d) fx (0,0) does not exis t 5)fC0,0) does nat exsist fy (o,0) exists and equal to O fyloo! fyLO,0 exist ond is equa to L e) fxlq,o) fyl00) dbes aet ist does not exist C) f&Co,0) exists Onad is equal O fylo1g exists and is agual 1
Transcribed Image Text:(x+y8 ).sin +42 1 (x(4) =(01O) giuen which of the following statements about the Is given which existence 1ond fy (x,4) off(x,4) at the of the partial deriuatives f(xxy! point (0,0,istrue? a fr(0,0) exists and is equol to fy 10,0) exIsts and is equal to O d) fx (0,0) does not exis t 5)fC0,0) does nat exsist fy (o,0) exists and equal to O fyloo! fyLO,0 exist ond is equa to L e) fxlq,o) fyl00) dbes aet ist does not exist C) f&Co,0) exists Onad is equal O fylo1g exists and is agual 1
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