Directions: Choose the letter of the correct answer. Write the letter that corresponds to the correct answer in a separate sheet of paper. 1. Find y' of the equation sin(x + y) = y2 cos x А. у' x? cosx+sin(x+y) B. v' = x2 sin x+cos(x+y) 2y cos x-cos(x+y) 2x cos x-cos(x+y) y? sinx-cos(x+y) 2x cos x+cos(x+y) y? sinx+cos(x+y) C. y' = D. y' 2y cos x-cos(x+y) 2. Find dy/dx, if x* + y* = 16 dy А. c.=号 В. 1 3. Differentiate y sin-1x А. (sin-1x)2V1-x² (sec-1x)2Vx²-1 V1-x2 С. (sin-1x)2 V1-x2 D. (sin-1x)2 D.
Directions: Choose the letter of the correct answer. Write the letter that corresponds to the correct answer in a separate sheet of paper. 1. Find y' of the equation sin(x + y) = y2 cos x А. у' x? cosx+sin(x+y) B. v' = x2 sin x+cos(x+y) 2y cos x-cos(x+y) 2x cos x-cos(x+y) y? sinx-cos(x+y) 2x cos x+cos(x+y) y? sinx+cos(x+y) C. y' = D. y' 2y cos x-cos(x+y) 2. Find dy/dx, if x* + y* = 16 dy А. c.=号 В. 1 3. Differentiate y sin-1x А. (sin-1x)2V1-x² (sec-1x)2Vx²-1 V1-x2 С. (sin-1x)2 V1-x2 D. (sin-1x)2 D.
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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Transcribed Image Text:Directions: Choose the letter of the correct answer.
Write the letter that
corresponds to the correct answer in a separate sheet of paper.
1. Find y' of the equation sin(x + y) = y? cos x
А. у'
x? cos x+sin(x+y)
В. у"
x2 sinx+cos(x+y)
%3D
2y cos x-cos(x+y)
2x cos x-cos(x+y)
y? sinx-cos(x+y)
С. у'
y? sin x+cos(x+y)
2y cos x-cos(x+y)
D. y' =
2x cos x+cos(x+y)
2. Find dy/dx, if x* + y4 = 16
x3
A. =
3x3
D. =
2y2
dy
dy
В.
dx
%3D
dx
1
3. Differentiate y =
sin-1x
1
1
А.
(sin-1x)²V1-x?
В.
(sec-1x)2Vx2-1
V1-x2
С.
(sin-1x)2
V1-x?
D.
(sin-1x)2
Transcribed Image Text:4. Differentiate y =
A. xVx
B. xV* x+2)
In x
C. xV* (2-Inx
(2VxIn 2/
D. xv* ()
5. Find
dx
for tan ly 3x2y-In(x - y2)
2xy? -
dy
A.
dx
y(In(x-y2))-2
2(x-y2)
(y(In(x-y2))"
2(x-y2)
6x?y
1+x2-3x2 - 0n(x-y2))½
x-y2
1
1+x2
x-y2
dy
С.
dx
6x²y2 - Y(In(x-y?))-½
2(x-y2)
(y(In(x-y?))-2
2(x-y2)
6ху —
(V(In(x-y2))-½
x-y2
D.
dx
1
1+y? - 3x2 - VIn(x-y2))-½
x-y2
1
1+y2
B.
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