Find the partial derivatives of the following function: (7xz4-5x?z3+3x5)4 (3xz25-2x4+8z3)5 y=f(x,z) = (3x2 5– 2x*+ 8z 3$4(7xz ª_ sx²;3+ 3x5^17zª–10xz³+ 15x5– (7xz fx = (3x2 5- 214+ 82 35,2 I. (3x2 5– 2x*+ 8z 354(7xz^- 5x²,³+ 3x5³(28xz ³–-15x223- (7xz 4- 5x²z³+ 3x94s(3x25- 2x*+ 8z 34a5xz^+162) f7 = [(3x2 5- 2x4+ 8z 3,5,2 (3x2 5- 2x4+ 82 35(7xz 4. 3x 5°7zª –10xz ³ + 15x 4- (7xzª. [(3x2 5- 2x*+ 82 35,2 5928xz3 –15x3-(7x24-5x3+ 3x543xz 5-2x4+823^a5xz*+162) fx = 3+ 3x543xz5- 2x4+ &z34325= 8x3 O I. (3x25– 2x*+ 8z 35(7xzª- 5x3 f, = 5 4 25,2

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
icon
Related questions
Question
Find the partial derivatives of the following function:
(7xz4-5x²z3+3x5)4
(3xz5-2x4+8z3)5
y=f(x,z) =
(3xz5– 2xª + 8z354(7xzª – 5x²,3+ 3x5^(7z4– 10xz³+15x4 – (7xzª- 5x²,3+3x545(3xz5_- 2xª+ 8z35{3z 5-8x3
[(3xz- 2x4+ 8z 35,2
fx =
- 2x+ 8z
I.
(3xz5- 2x+ 8z 354(7xzª – 5x²z3+ 3x5³(28xz3 – 15xz3- (7xz4- 5x²23+ 3x
3x545(3xz5- 2xª+ 8z3^(15xzª+16z)
2.3
[(3x25- 2x4+ 8z 35,²
(3xz5 – 2x4+ 8z 35(7xz4 – 5x²23+ 3x5³(7z4– 10xz3+15x4– (7xz^- 5x²z3+3x
9(3xz5-2xª+8z3^(3z5-8x3
[(3x2 5- 2x4+ 8z351²
O I.
(3xz
fz
'- 2x*+ 8z 3(7xz4_
4
- 5x2z3+ 3x3(28xz 3-15x223- (7xz4- 5x?z3+ 3x54(3xz5- 2x4+ 8z34(15xz4+16z)
[(3x2 5- 2x4+ 82 35j²
-2x*+ 8z354(7xzª – 5x²,3+ 3x5³(7zª – 1Oxz3 +15x4 - (7xz^– 5x²½³+ 3x545(3xz5– 2xª+ 8z 34(325- 8x³ + 8z°
[(3x25- 2x4+ 8z 35,2
(3xz5- 2x4+ 8z 354(7xz4– 5x²z3+ 3x5%½28xz3-15x?z2+ 3x) - (7xz4- 5xz³+ 3x45(3xz5- 2x+8z34(15xz4 - 2x+16z)
(3xz 5- 2x4+ 82 35j²
2.3
- 10xz+15x
- 2x+ 8z
fx =
II.
2_3
fz
%3D
fx =-
(3xz5– 2x* + &z 3}54(7xz* – 5x²z ³ + 3x5³(7z* - 10xz³+15x*) – (7xz*- 5x²z³+ 3x5*5(3xz5– 2x*+ 8z 3*(3z5 – 8x
[(3xz5- 2x*+ 8z3512
O IV.
(3xz5– 2x*+ 8z 354(7xz*– 5x²z³+ 3x5³(28xz3– 15xz} – (7xz*- 5x²z³+ 3x545(3xz5– 2x*+ 8z3*(15xz*+16z)
f2 =
[(3x75- 2r4++ 874512
Transcribed Image Text:Find the partial derivatives of the following function: (7xz4-5x²z3+3x5)4 (3xz5-2x4+8z3)5 y=f(x,z) = (3xz5– 2xª + 8z354(7xzª – 5x²,3+ 3x5^(7z4– 10xz³+15x4 – (7xzª- 5x²,3+3x545(3xz5_- 2xª+ 8z35{3z 5-8x3 [(3xz- 2x4+ 8z 35,2 fx = - 2x+ 8z I. (3xz5- 2x+ 8z 354(7xzª – 5x²z3+ 3x5³(28xz3 – 15xz3- (7xz4- 5x²23+ 3x 3x545(3xz5- 2xª+ 8z3^(15xzª+16z) 2.3 [(3x25- 2x4+ 8z 35,² (3xz5 – 2x4+ 8z 35(7xz4 – 5x²23+ 3x5³(7z4– 10xz3+15x4– (7xz^- 5x²z3+3x 9(3xz5-2xª+8z3^(3z5-8x3 [(3x2 5- 2x4+ 8z351² O I. (3xz fz '- 2x*+ 8z 3(7xz4_ 4 - 5x2z3+ 3x3(28xz 3-15x223- (7xz4- 5x?z3+ 3x54(3xz5- 2x4+ 8z34(15xz4+16z) [(3x2 5- 2x4+ 82 35j² -2x*+ 8z354(7xzª – 5x²,3+ 3x5³(7zª – 1Oxz3 +15x4 - (7xz^– 5x²½³+ 3x545(3xz5– 2xª+ 8z 34(325- 8x³ + 8z° [(3x25- 2x4+ 8z 35,2 (3xz5- 2x4+ 8z 354(7xz4– 5x²z3+ 3x5%½28xz3-15x?z2+ 3x) - (7xz4- 5xz³+ 3x45(3xz5- 2x+8z34(15xz4 - 2x+16z) (3xz 5- 2x4+ 82 35j² 2.3 - 10xz+15x - 2x+ 8z fx = II. 2_3 fz %3D fx =- (3xz5– 2x* + &z 3}54(7xz* – 5x²z ³ + 3x5³(7z* - 10xz³+15x*) – (7xz*- 5x²z³+ 3x5*5(3xz5– 2x*+ 8z 3*(3z5 – 8x [(3xz5- 2x*+ 8z3512 O IV. (3xz5– 2x*+ 8z 354(7xz*– 5x²z³+ 3x5³(28xz3– 15xz} – (7xz*- 5x²z³+ 3x545(3xz5– 2x*+ 8z3*(15xz*+16z) f2 = [(3x75- 2r4++ 874512
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Partial Derivatives
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
ENGR.ECONOMIC ANALYSIS
ENGR.ECONOMIC ANALYSIS
Economics
ISBN:
9780190931919
Author:
NEWNAN
Publisher:
Oxford University Press
Principles of Economics (12th Edition)
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
Engineering Economy (17th Edition)
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
Principles of Economics (MindTap Course List)
Principles of Economics (MindTap Course List)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Managerial Economics: A Problem Solving Approach
Managerial Economics: A Problem Solving Approach
Economics
ISBN:
9781337106665
Author:
Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:
Cengage Learning
Managerial Economics & Business Strategy (Mcgraw-…
Managerial Economics & Business Strategy (Mcgraw-…
Economics
ISBN:
9781259290619
Author:
Michael Baye, Jeff Prince
Publisher:
McGraw-Hill Education