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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![This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part so write down your answers, you will
need them!
Implicit Differentiation: Finding the Slope
Find the equation of the line tangent to the hyperbola x2 + 2xy – y2 + x = 5 at the point (3 , 7)
Step 1
10
-10
0.
10
-10-
Use implicit differentiation to find an slope of the tangent line to the hyperbola
x2 + 2xy – y2 + x = 5
at the point (3 , 7)
d
x2 + 2xy – y? + x = [5] Taking the derivative of both sides with respect to x gives
dx
dx
+ 2
y' + 2O-U
y' +
= 0
Submit Skip_(you cannot come back)_](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F27af745b-6d4f-4129-9ebf-5574c17547e0%2F152c269d-3422-48a1-8791-525105a4fff1%2F67oh3jp_processed.png&w=3840&q=75)
Transcribed Image Text:This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part so write down your answers, you will
need them!
Implicit Differentiation: Finding the Slope
Find the equation of the line tangent to the hyperbola x2 + 2xy – y2 + x = 5 at the point (3 , 7)
Step 1
10
-10
0.
10
-10-
Use implicit differentiation to find an slope of the tangent line to the hyperbola
x2 + 2xy – y2 + x = 5
at the point (3 , 7)
d
x2 + 2xy – y? + x = [5] Taking the derivative of both sides with respect to x gives
dx
dx
+ 2
y' + 2O-U
y' +
= 0
Submit Skip_(you cannot come back)_
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