let it be ƒ(x, y) = xy/x + y when x > 0, y > 0 a) calculate the partial derivative at fæ and fy at (1,2) b) for the change of the values of the function f near the point Vf(1.2) an inequality can be derived by means of a linear approximation |Vf| < \fz(1.2)| * |Væ| + \fy(1.2)| * |Vy| apply the formula to case x 2 1±0.01y 2 2 ± 0.02

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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kindly answer both part.

let it be f(x, y) = xy/x + y when x > 0, y > 0
a) calculate the partial derivative at fr and f, at (1,2)
b) for the change of the values of the function f near the point
Vf(1.2) an
inequality can be derived by means of a linear approximation
|Vf| < \f#(1.2)| * |Vx| + \fy(1.2)| * |Vy|
apply the formula to case 2 1±0.01y 2 2±0.02
Transcribed Image Text:let it be f(x, y) = xy/x + y when x > 0, y > 0 a) calculate the partial derivative at fr and f, at (1,2) b) for the change of the values of the function f near the point Vf(1.2) an inequality can be derived by means of a linear approximation |Vf| < \f#(1.2)| * |Vx| + \fy(1.2)| * |Vy| apply the formula to case 2 1±0.01y 2 2±0.02
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