e 1. Consider the surface defined by z = x² + eln(x - y). Let f(x,y) = x² + ³y ln(x−y). (a) Compute Vf at the point (1,0). (b) Compute the derivative of f(x, y) at the point (1,0) in the direction (3,-4). This loc You can others t (c) Explain the geometric relationship between the answer found in part (a) and the surface defined above.

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.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 25E
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1. Consider the surface defined by z = x² + ey ln(x - y). Let f(x,y) = x² + ey ln(x - y).
(a) Compute Vf at the point (1,0).
(b) Compute the derivative of f(x, y) at the point (1,0) in the direction (3,-4).
This loo
You can
others to
(c) Explain the geometric relationship between the answer found in part (a) and the surface
defined above.
Transcribed Image Text:1. Consider the surface defined by z = x² + ey ln(x - y). Let f(x,y) = x² + ey ln(x - y). (a) Compute Vf at the point (1,0). (b) Compute the derivative of f(x, y) at the point (1,0) in the direction (3,-4). This loo You can others to (c) Explain the geometric relationship between the answer found in part (a) and the surface defined above.
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Can you explain how you found part b? It does not make sense to me.

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