Use the linear approximation of Use the linear approximation of f(x,y)=e2x2+3y at (0,0) to estimate

motorinum6fh9v 2022-05-10 Answered
Use the linear approximation of Use the linear approximation of f(x,y)=e2x2+3y at (0,0) to estimate f(0.01,−0.02). at ( 0 , 0 ) to estimate f ( 0.01 , 0.02 ).
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Answers (1)

necrologo9yh43
Answered 2022-05-11 Author has 23 answers
(This is a chain rule.) d f = f x d x + f y d y .
Δ f f x Δ x + f y Δ y .
f ( 0 + Δ x , 0 + Δ y ) = f ( 0 , 0 ) + Δ f .
f ( 0 , 0 ) = 1 Δ x = 0.01 Δ y = 0.02.
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