Find the slope of the graph of the equation at the given point. (If an answer is undefined, enter UNDEFINED.) dy Solve for - dx STEP 3: Vxy = x – 2y, (4, 1) STEP 1: Rewrite the original equation. 1 - V xy = x – 2y dy dx = x - 2y + 1.x^ STEP 2: Differentiate the equation with respect t x. 2 xy – y 1-2dy x + 4/ xy dy + 2dy = 1- 2Vy dx (x – 2y) – y x + 4(x – 2y) 2x - 5y STEP 4: Evaluate the derivative at the given point. x - 8y dy At (4, 1), - dx 2(4) – 5(1) 5(4) – 8(1) %3D

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
Find the slope of the graph of the equation at the given point. (If an answer is undefined, enter UNDEFINED.)
dy
Solve for -
dx
STEP 3:
Vxy = x – 2y, (4, 1)
STEP 1:
Rewrite the original equation.
1 -
V xy = x – 2y
dy
dx
= x - 2y
+
1.x^
STEP 2:
Differentiate the equation with respect t x.
2 xy – y
1-2dy
x + 4/ xy
dy
+ 2dy
= 1-
2Vy dx
(x – 2y) – y
x + 4(x – 2y)
2x - 5y
STEP 4:
Evaluate the derivative at the given point.
x - 8y
dy
At (4, 1), -
dx
2(4) – 5(1)
5(4) – 8(1)
%3D
Transcribed Image Text:Find the slope of the graph of the equation at the given point. (If an answer is undefined, enter UNDEFINED.) dy Solve for - dx STEP 3: Vxy = x – 2y, (4, 1) STEP 1: Rewrite the original equation. 1 - V xy = x – 2y dy dx = x - 2y + 1.x^ STEP 2: Differentiate the equation with respect t x. 2 xy – y 1-2dy x + 4/ xy dy + 2dy = 1- 2Vy dx (x – 2y) – y x + 4(x – 2y) 2x - 5y STEP 4: Evaluate the derivative at the given point. x - 8y dy At (4, 1), - dx 2(4) – 5(1) 5(4) – 8(1) %3D
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