af af af HINT [See Example 3.] Find and дх ду dz f(x, y, z) = xeyZ + 7yexz af дх af ду дf дz Find their values at (0, -1, 1) if possible. (If an answer is undefined, enter UNDEFINED.) дf (0, -1, 1) = дх af (0,-1, 1) = ду -(0, -1, 1) = дz

af af af HINT [See Example 3.] Find and дх ду dz f(x, y, z) = xeyZ + 7yexz af дх af ду дf дz Find their values at (0, -1, 1) if possible. (If an answer is undefined, enter UNDEFINED.) дf (0, -1, 1) = дх af (0,-1, 1) = ду -(0, -1, 1) = дz

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.9: Properties Of Determinants

Problem 40E

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Question

af af
af
HINT [See Example 3.]
Find
and
дх ду
dz
f(x, y, z) = xeyZ + 7yexz
af
дх
af
ду
дf
дz
Find their values at (0, -1, 1) if possible. (If an answer is undefined, enter UNDEFINED.)
дf
(0, -1, 1) =
дх
af
(0,-1, 1) =
ду
-(0, -1, 1) =
дz

Expert Solution

Step 1

The given function is

Step 2

To find: The value of partial derivatives of function with rerspect to x, y and z. And then evaluate partial derivative at point (0,-1,1).

of of
of
and
ôx
ôy
of
and
ôy
ÔZ
(0,-1,1)
(0,-1,1)
(0,-1,1)

Step 3

The partial differentiation of (1) with respect to x gives

of
(xe +7ye* )
(*) + 7y (e*)
= ez
ôx
= e" +7 yze*
(ro)
= e-1.1) + 7(-1.1)e
And,
(0,-1,1)
= e - 7e(0)
- 7..: e° =1)
- 7....(: e° =1)

Step by step

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