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The tangent plane to the graph of the function f(x, y) = ey at the point with x = 1, y = -1, a) has the equation z = e-e (x - 1) +e (y + 1). b) has the equation z = e. c) has the equation z = (3-x + y)/e. d) it does not exist because the function is not differentiable at (1,-1). e) has the equation z = 1- x + y.

The tangent plane to the graph of the function f(x, y) = ey at the point with x = 1, y = -1, a) has the equation z = e-e (x - 1) +e (y + 1). b) has the equation z = e. c) has the equation z = (3-x + y)/e. d) it does not exist because the function is not differentiable at (1,-1). e) has the equation z = 1- x + y.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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x = 1, y = The tangent plane to the graph of the function f(x, y) = exy at the point with -1, a) has the equation z = e-e (x − 1) +e (y + 1). b) has the equation z = e. c) has the equation z = (3-x + y)/e. d) it does not exist because the function is not differentiable at (1,−1). e) has the equation z = =1-x+y.
Transcribed Image Text:x = 1, y = The tangent plane to the graph of the function f(x, y) = exy at the point with -1, a) has the equation z = e-e (x − 1) +e (y + 1). b) has the equation z = e. c) has the equation z = (3-x + y)/e. d) it does not exist because the function is not differentiable at (1,−1). e) has the equation z = =1-x+y.
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