dy by differentiating implicitly. Do not subs da (a) Find dy dx (b) Solve the equation for y as a function of a, and fir equation. y = dy dx (c) Confirm that the two results are consistent by exp: derivative in part (a) as a function of x alone. dy dx ||

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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Question
Given x + xy – 2x = 4:
dy
by differentiating implicitly. Do not substitute for y.
dr
(a) Find
dy
da
dy
from that
dx
(b) Solve the equation for y as a function of x, and find
equation.
y =
dy
dx
(c) Confirm that the two results are consistent by expressing the
derivative in part (a) as a function of a alone.
dy
dx
||
Transcribed Image Text:Given x + xy – 2x = 4: dy by differentiating implicitly. Do not substitute for y. dr (a) Find dy da dy from that dx (b) Solve the equation for y as a function of x, and find equation. y = dy dx (c) Confirm that the two results are consistent by expressing the derivative in part (a) as a function of a alone. dy dx ||
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