Consider the following equation. x²7xy-y²-5y = -47

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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Consider the following equation.
x²7xy-y² - 5y = -47
(a) Using implicit differentiation, determine an expression for y' (x) in terms of x and y.
y'(x) =
(b) Notice that the point (x, y) = (3,2) lies on the curve of the given equation. What is the slope of the
tangent line to the curve at this point?
Slope = Number
Transcribed Image Text:Consider the following equation. x²7xy-y² - 5y = -47 (a) Using implicit differentiation, determine an expression for y' (x) in terms of x and y. y'(x) = (b) Notice that the point (x, y) = (3,2) lies on the curve of the given equation. What is the slope of the tangent line to the curve at this point? Slope = Number
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