12x+1 C) (2x+ 1)2 7) If y= then *+2. dy 12x -1 D) (2x+ 1)2 2x12x•5 A) (x+2)2 7 E) (2x+ 1)2 2x B) 22x C) (x+ 2)2 3) If x2 - 2xy + y3 = 10, then dx 2y-2x A) 3y2 . 2x D) (x• 2)2 2x(2x+ 3 E) (*+ 2)2 2y+ 2x B) 3y2 • 2x 2y- 2x C) 3,2-2x 8) For differentiable functions f and g, the table below shows various values for f(x) and g(x) as well as their derivatives, f'(x) and g'(x). 2y+2x D) 3y2 - 2x 2y- 2x+2 E) 3y2 f(x) f'(x) g(x) g') 3 5 1 2 4 2 -1 1 -3 4) If f(x) = csc x tan x, then f'(x) = 1 A) sin x cos x If H(x) = g[f(x)], then H'(1) = A) O B) sec x tan x B) -15 C) -3 D) 10 C) -csc x cot x 1 D) sin x E) -sec x tan x E) 20

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 23E
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Questions 6 and 8

12x+1
e2x
If y=
dy
then
dx
7)
(2x+ 1)2
*+ 2 '
12x -1
D)
(2x+ 1)2
2x(2x+5
A)
(x+ 2)2
7
E)
(2x + 1)2
B)
C)
(x+ 2)2
3)
dy
If x2 - 2xy + y3 = 10, then
2x(x+ 1)
D)
(x+ 2)2
e2x(2x+ 3
E)
(x+ 2)2
A)
2y-2x
3y2 + 2x
2y+ 2x
B)
3y2 + 2x
2y-2x
C)
For differentiable functions f and g, the table
8)
below shows various values for f(x) and g(x) as well
as their derivatives, f'(x) and g'(x).
3y2 - 2x
2y+2x
D)
3 y2 - 2x
2y- 2x+ 2
3y2
E)
f(x) f'(x)| g(x) g'x)
1
3
4
2
-1
1
-3
4)
If f(x) = csc x tan x, then f'(x) =
1
A)
sin? x cos x
If H(x) = g[f(x)], then H' (1) =
A) O
B) -15
C) -3
D) 10
B) sec x tan x
C) -csc x cot x
1
D)
sin x
E) -sec x tan x
E) 20
Transcribed Image Text:12x+1 e2x If y= dy then dx 7) (2x+ 1)2 *+ 2 ' 12x -1 D) (2x+ 1)2 2x(2x+5 A) (x+ 2)2 7 E) (2x + 1)2 B) C) (x+ 2)2 3) dy If x2 - 2xy + y3 = 10, then 2x(x+ 1) D) (x+ 2)2 e2x(2x+ 3 E) (x+ 2)2 A) 2y-2x 3y2 + 2x 2y+ 2x B) 3y2 + 2x 2y-2x C) For differentiable functions f and g, the table 8) below shows various values for f(x) and g(x) as well as their derivatives, f'(x) and g'(x). 3y2 - 2x 2y+2x D) 3 y2 - 2x 2y- 2x+ 2 3y2 E) f(x) f'(x)| g(x) g'x) 1 3 4 2 -1 1 -3 4) If f(x) = csc x tan x, then f'(x) = 1 A) sin? x cos x If H(x) = g[f(x)], then H' (1) = A) O B) -15 C) -3 D) 10 B) sec x tan x C) -csc x cot x 1 D) sin x E) -sec x tan x E) 20
1)
If f(x) = - 2x³, then f' (8) =
5)
If f(x) = sin? (2x), then f'
A)
3
A)
2
B) 2/3
C) 2
D)
E) 4
B)
C)
D)
E)
If f(x) = tan (2x2), then f'(/n) =
A) Vn
B) 4/T
C) 1
D) 2/
E) о
6)
%3D
3x - 2
2)
If f(x) =
then f'(x) =
2x+1
A) 2
-7
В)
(2x+ 1)2
e2x
If y=
12x+1
C)
(2x+ 1)2
12x -1
D)
(2x+ 1)2
7)
dy
then
dx
*+2 :
2x(2x+5
A)
(x+ 2)2
E)
(2x+ 1)2
B)
C)
(x+ 2)2
3)
dy
If x2 - 2xy + y3 = 10, then
e2x(x+ 1)
%3D
dx
2y-2x
A)
3y2 + 2x
D)
(x+ 2)2
e2 x(2x+ 3
Transcribed Image Text:1) If f(x) = - 2x³, then f' (8) = 5) If f(x) = sin? (2x), then f' A) 3 A) 2 B) 2/3 C) 2 D) E) 4 B) C) D) E) If f(x) = tan (2x2), then f'(/n) = A) Vn B) 4/T C) 1 D) 2/ E) о 6) %3D 3x - 2 2) If f(x) = then f'(x) = 2x+1 A) 2 -7 В) (2x+ 1)2 e2x If y= 12x+1 C) (2x+ 1)2 12x -1 D) (2x+ 1)2 7) dy then dx *+2 : 2x(2x+5 A) (x+ 2)2 E) (2x+ 1)2 B) C) (x+ 2)2 3) dy If x2 - 2xy + y3 = 10, then e2x(x+ 1) %3D dx 2y-2x A) 3y2 + 2x D) (x+ 2)2 e2 x(2x+ 3
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