On the circle x² + y² = r², find y". r2 A. y" C. y" = y - x3 E. None of these -x² - y2 В. у" D. y" : y2 Given ( x + y)? – (x- y)? = x* + y*, find dy/dx using implicit differentiation. x – y³ A. dx dy y- x3 x - y3 dy c. dx E. None of these y - x3 В. dx y – x³ dy x + y3 D. dx x - y x- ya Consider the equation sin x = e", find dy/dx. dy dy cosx A. dx C. dx E. None of these sin x dy В. = sec x dx = cot x D. 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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On the circle x? + y² = r², find y".
r2
С. у"
A. y" =
y
E. None of these
y - x³
-x2.
y2
В. у"
D. y" =
Given ( x + y)? – (x- y)? = x* + y*, find dy/dx using implicit differentiation.
х — уз
y – x3
dy _ y- x³
х - уз
dy
C.
dx
А.
dx
E. None of these
y – x³
x + y3
dy _ x³ – y
D.
dy
В.
dx
x- y3
dx
Consider the equation sin x = e", find dy/dx.
dy _ ey
dy
cos x
А.
dx
C.
dx
E. None of these
sin x
ex
dy
dy
= sec x
dx
D.
= cot x
dx
B.
Transcribed Image Text:On the circle x? + y² = r², find y". r2 С. у" A. y" = y E. None of these y - x³ -x2. y2 В. у" D. y" = Given ( x + y)? – (x- y)? = x* + y*, find dy/dx using implicit differentiation. х — уз y – x3 dy _ y- x³ х - уз dy C. dx А. dx E. None of these y – x³ x + y3 dy _ x³ – y D. dy В. dx x- y3 dx Consider the equation sin x = e", find dy/dx. dy _ ey dy cos x А. dx C. dx E. None of these sin x ex dy dy = sec x dx D. = cot x dx B.
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