az and ax az 6x3 3. Calculate the partial derivatives for the function z = - x3+3y3 み= (3x)-ズ+(18)15x-15g + ウ4がg?. 54x ду 15g+34だ 54で しょ:9ザ-ズ+.0, 54だ5 %3D 3.2 x2 %3D 4. Find the linear approximation for f(x,y) = at the point P(2,-5). Use this to y estimate f(2.05, -4.97).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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Can someone tell me if I did the correctly please? Thanks!
fig'-g.f'
az
az
and
əx
6x3
3. Calculate the partial derivatives
for the function z =
ду
x3+3y3'
2.3
18x - 18x +ら4メu?
ャう)
2.
54X
4. Find the linear approximation for f(x,y) = -
x2
%3D
at the point P(2, –5). Use this to
estimate f(2.05, –4.97).
Transcribed Image Text:fig'-g.f' az az and əx 6x3 3. Calculate the partial derivatives for the function z = ду x3+3y3' 2.3 18x - 18x +ら4メu? ャう) 2. 54X 4. Find the linear approximation for f(x,y) = - x2 %3D at the point P(2, –5). Use this to estimate f(2.05, –4.97).
Expert Solution
Step 1

We know that;

The Quotient rule:

fg'=f'·g-f·g'g2

 

3).

Given:

z=6x3x3+3y3

steps

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