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
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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