A function of 2 variable is given by, f <mo stretchy="false">( x , y <mo s

tonnithrkr

tonnithrkr

Answered question

2022-05-03

A function of 2 variable is given by,
f ( x , y ) = e 2 x 3 y
How to find tangent approximation to f ( 0.244 , 1.273 ) near ( 0 , 0 ) ??

Answer & Explanation

kayuukor9c

kayuukor9c

Beginner2022-05-04Added 13 answers

Linear(Tangent) approximation of f ( x , y ) about ( a , b ) is given by,
f ( x , y ) f ( a , b ) + ( x a ) f x ( a , b ) + ( y b ) f y ( a , b )
In this problem f ( x , y ) = e 2 x 3 y
f x ( x , y ) = 2 e 2 x 3 y and f y ( x , y ) = 3 e 2 x 3 y

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