Calculate the tangent plane for the function f(x, y) = (xy+1) sin(x+y) at the point (0, 0). Using the method of linear approximations, approximate the number (0.1 × 0.2+1) sin(0.1 +0.2).

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 26E
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Calculate the tangent plane for the function f(x, y) = (xy+1) sin(x+y) at the point (0, 0). Using
the method of linear approximations, approximate the number (0.1 x 0.2 + 1) sin(0.1 +0.2).
Transcribed Image Text:Calculate the tangent plane for the function f(x, y) = (xy+1) sin(x+y) at the point (0, 0). Using the method of linear approximations, approximate the number (0.1 x 0.2 + 1) sin(0.1 +0.2).
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