Suppose sin(x + y) = 4x – 4y . (a) Implicitly differentiate both sides of the equation above (enter y' for the derivative of y): (b) Solve for y' to get y' = (c) The slope of the tangent line at the point (π, π) is (d) The equation of the tangent line at the point (π, π) is y = (Hint: First write the point-slope form.)

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...
Question
Suppose sin(x + y)
4x - 4y.
(a) Implicitly differentiate both sides of the equation above (enter y' for the derivative of y):
(b) Solve for y' to get y'
=
=
(c) The slope of the tangent line at the point (π, π) is
(d) The equation of the tangent line at the point (, ) is y =
=
(Hint: First write the point-slope form.)
=
Transcribed Image Text:Suppose sin(x + y) 4x - 4y. (a) Implicitly differentiate both sides of the equation above (enter y' for the derivative of y): (b) Solve for y' to get y' = = (c) The slope of the tangent line at the point (π, π) is (d) The equation of the tangent line at the point (, ) is y = = (Hint: First write the point-slope form.) =
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