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 dy/dx at the given point for the equation.
x = y3 – 5y2 + 2, (-2, 1)
Step 1
The given function is x = y³ − 5y² + 2. Differentiate the given function with respect to x.
d
dx
d
-X =
dx
1 =
1 =
1 =
dy
dx
||
-(y³ - 5y² + 2)
d
d
(y³) - 50 (y²) + (2)
5.
dx
dx
dx
dy
dx
1
dy
dx
10y dy
dx
- 10y](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff9b6a03f-2298-4441-ab19-fb50f28ec42f%2F7a23072a-bad5-40f4-92db-949ada735ea6%2Fdhxzi9_processed.png&w=3840&q=75)
Transcribed Image Text:Find dy/dx at the given point for the equation.
x = y3 – 5y2 + 2, (-2, 1)
Step 1
The given function is x = y³ − 5y² + 2. Differentiate the given function with respect to x.
d
dx
d
-X =
dx
1 =
1 =
1 =
dy
dx
||
-(y³ - 5y² + 2)
d
d
(y³) - 50 (y²) + (2)
5.
dx
dx
dx
dy
dx
1
dy
dx
10y dy
dx
- 10y
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