Can someone tell me if I did the correctly please? Thanks! fig'-g.f'azazandəx6x33. Calculate the partial derivativesfor the function z =дуx3+3y3'2.318x - 18x +ら4メu?ャう)2.54X4. Find the linear approximation for f(x,y) = -x2%3Dat the point P(2, –5). Use this toestimate f(2.05, –4.97).

We know that; The Quotient rule: fg'=f'·g-f·g'g2 3). Given: z=6x3x3+3y3

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).

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).

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

100%

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).

Expert Solution

Step 1

We know that;

The Quotient rule:

${(\frac{f}{g})}^{'} = \frac{f' \cdot g - f \cdot g'}{g^{2}}$

3).

Given:

$z = \frac{6 x^{3}}{x^{3} + 3 y^{3}}$

Step by step

Solved in 3 steps

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