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Why are both the x-coordinate and the y-coordinate generally needed to find the slope of the tangent line at a point for an implicitly defined function?

Why are both the x-coordinate and the y-coordinate generally needed to find the slope of the tangent line at a point for an implicitly defined function?

Calculus: Early Transcendentals
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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Why are both the x-coordinate and the y-coordinate generally needed to find the slope of the tangent line at a point for an implicitly defined function? Choose the correct answer below. dy is usually given in terms of both x and dx A. Because when derived implicitly, у. B. Because when derived implicitly, two formulas for dy results, one in terms of x and one in terms of y. dx C. Because when derived implicitly, the formula for the slope is 2. X
Transcribed Image Text:Why are both the x-coordinate and the y-coordinate generally needed to find the slope of the tangent line at a point for an implicitly defined function? Choose the correct answer below. dy is usually given in terms of both x and dx A. Because when derived implicitly, у. B. Because when derived implicitly, two formulas for dy results, one in terms of x and one in terms of y. dx C. Because when derived implicitly, the formula for the slope is 2. X
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