Find all the first order partial derivatives for the following function. f(x, y) = (5x 4y 3 + 6) 2 O af = 20x°y°; dy af 15x*y2 dx af = 2(5x4y3 + 6) dy O af 2(5x^y3 + 6); %3D dx O af af 40x³y³(5x4y3 + 6); dx = 30x4y2(5x4y3 + 6) dy O af af = 30x4y2(5x4y3 + 6); = 40x³y³(5x4y3 + 6) dx dy

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...
Question
Find all the first order partial derivatives for the following function.
f(x, y) = (5x 4y 3 + 6) 2
af
%3D
O af
20x°y3: = 15x4y2
dy
af
af
= 2(5x4y3 + 6); = 2(5x4y3 + 6)
dy
%3D
af
af
= 40x3y3(5x4y3 + 6);
30x4y2(5x4y3 + 6)
dy
* = 30x4y2(5x4y3 + 6); f =
40x³y³(5x*y3 + 6)
dy
%3D
dx
Transcribed Image Text:Find all the first order partial derivatives for the following function. f(x, y) = (5x 4y 3 + 6) 2 af %3D O af 20x°y3: = 15x4y2 dy af af = 2(5x4y3 + 6); = 2(5x4y3 + 6) dy %3D af af = 40x3y3(5x4y3 + 6); 30x4y2(5x4y3 + 6) dy * = 30x4y2(5x4y3 + 6); f = 40x³y³(5x*y3 + 6) dy %3D dx
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