Consider the function z = ye³x + 2x cos (y) a. Find the partial derivatives. b. Find the tangent plane to the surface when (x, y) = (-1,0). c. Find all the partial second derivatives.

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.CR: Chapter 9 Review
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1) Consider the function z =
ye ³x
+ 2x cos
(y)
a. Find the partial derivatives.
b. Find the tangent plane to the surface when (x, y) = (-1,0).
c. Find all the partial second derivatives.
Transcribed Image Text:1) Consider the function z = ye ³x + 2x cos (y) a. Find the partial derivatives. b. Find the tangent plane to the surface when (x, y) = (-1,0). c. Find all the partial second derivatives.
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