Use implicit differentiation to find an equation of the tangent line to the graph of the equation at the given point. arctan(x + y) = y+, (1, 0) Step 1 To find the equation of the tangent line to the graph of arctan(x + y) = y2 + differentiate arctan(x + y) = y2 + 4 with respect to x. Therefore, (arctan(x + y)) = (No Response) (No Response) Z[1 + y] = 2yy'. 1+x + (No Response) Step 2 To find the value of y' at the given point (1, 0), substitute x = 1 and y = 0 in 1 + y'] = 2yy' and solve for y'. Therefore, 1+ (x+ y) 1 2[1+y'] = 2 1 + 1 [1+ y'] = =y' =
Use implicit differentiation to find an equation of the tangent line to the graph of the equation at the given point. arctan(x + y) = y+, (1, 0) Step 1 To find the equation of the tangent line to the graph of arctan(x + y) = y2 + differentiate arctan(x + y) = y2 + 4 with respect to x. Therefore, (arctan(x + y)) = (No Response) (No Response) Z[1 + y] = 2yy'. 1+x + (No Response) Step 2 To find the value of y' at the given point (1, 0), substitute x = 1 and y = 0 in 1 + y'] = 2yy' and solve for y'. Therefore, 1+ (x+ y) 1 2[1+y'] = 2 1 + 1 [1+ y'] = =y' =
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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![Use implicit differentiation to find an equation of the tangent line to the graph of the equation at the given point.
arctan(x + y) = y + (1, 0)
Step 1
To find the equation of the tangent line to the graph of arctan(x + y) = y2 +
differentiate arctan(x + y) = y2 +
4
with respect to x. Therefore,
(arctan(x + y)) =
d (No Response)
(No Response)
1
2[1 + y] = 2yy'.
+ (No Response)
Step 2
To find the value of y' at the given point (1, 0), substitute x = 1 and y = 0 in
H1+ y'] = 2yy' and solve for y'. Therefore,
1+ (x+ y)
[1 + y'] = 2
1 +
[1 + y'] =
= y' =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F763c8294-b7d7-4287-8417-f269a935c48c%2Fee30039e-b9e2-4775-af5f-cb4e963e0d6f%2Frp3apxm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Use implicit differentiation to find an equation of the tangent line to the graph of the equation at the given point.
arctan(x + y) = y + (1, 0)
Step 1
To find the equation of the tangent line to the graph of arctan(x + y) = y2 +
differentiate arctan(x + y) = y2 +
4
with respect to x. Therefore,
(arctan(x + y)) =
d (No Response)
(No Response)
1
2[1 + y] = 2yy'.
+ (No Response)
Step 2
To find the value of y' at the given point (1, 0), substitute x = 1 and y = 0 in
H1+ y'] = 2yy' and solve for y'. Therefore,
1+ (x+ y)
[1 + y'] = 2
1 +
[1 + y'] =
= y' =
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