Question
Asked Dec 11, 2019
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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
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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

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Expert Answer

Step 1

The given function is

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f (x, y,z) = xe* + 7ye*...(1)

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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).

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

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Step 3
  • The partial differentiation of (1) wi...
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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)

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Tagged in

Math

Calculus

Derivative