What is the first derivative with respect to x of f(x) = (x² – 4) (3x – 2)? a. (2x)(3) b. 6х (x + 2) (x- 2) (3) d. 9x2 - 4x – 12 C.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: Analyzing Graphs Of Functions
Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
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What is the first derivative with respect to x of f(x) = (x2 – 4) (3x - 2)?
a. (2x)(3)
b. 6x
c. (x+ 2) (x- 2) (3)
d. 9x2 – 4x – 12
-
dy
If y =
Va+4
then what is
dx
%3D
dy
= 4x(x +4)
E-4Vx + 8
= 8 Vx + 4
E4(x + 4) -2
а.
%3D
dx
dy
b.
dx
dy
C.
dx
d.
dx
What is the derivative of y = 34x?
a. y' = (4)(34)
b. y = 4x3
c. y = (4)(3**) In(3)
d. y = In(4x) + 34x
What is the equation of the tangent line and the normal line to y = x2- 4x + 2 at (4,2) respectively?
a. y = 4x – 14 and y = 1/4x + 3
b. y = 4x – 14 and y = -1/4x + 3
C. y = -4x + 14 and y = -1/4x – 3
d. y = -4x + 14 and y = 1/4x – 3
dy ?
If y = V3x + 7, then what is
dx
dy
3
а.
dx
2v3x-7
dy
b.
dx
%3D
V2x-7
dy
C.
dx
3vax-7
dy
7
dx
3V3x-2
Transcribed Image Text:What is the first derivative with respect to x of f(x) = (x2 – 4) (3x - 2)? a. (2x)(3) b. 6x c. (x+ 2) (x- 2) (3) d. 9x2 – 4x – 12 - dy If y = Va+4 then what is dx %3D dy = 4x(x +4) E-4Vx + 8 = 8 Vx + 4 E4(x + 4) -2 а. %3D dx dy b. dx dy C. dx d. dx What is the derivative of y = 34x? a. y' = (4)(34) b. y = 4x3 c. y = (4)(3**) In(3) d. y = In(4x) + 34x What is the equation of the tangent line and the normal line to y = x2- 4x + 2 at (4,2) respectively? a. y = 4x – 14 and y = 1/4x + 3 b. y = 4x – 14 and y = -1/4x + 3 C. y = -4x + 14 and y = -1/4x – 3 d. y = -4x + 14 and y = 1/4x – 3 dy ? If y = V3x + 7, then what is dx dy 3 а. dx 2v3x-7 dy b. dx %3D V2x-7 dy C. dx 3vax-7 dy 7 dx 3V3x-2
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