12. Find the first derivative of y = 2cos(2 + x*). A. -4x sin (2 + x2) B. 4x cos (2 + x*) C. x sin (2+ x2) D. x cos (2 + x) 13. Find the derivative of arc csc (3x). A.-vor-1 В. D. vox-1) [3xV9x-1] 14. Find the derivative of arc sec (2x) C. A. B. D. rV1-A

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12. Find the first derivative of y = 2cos(2 +x?).
A. -4x sin (2 + x²)
B. 4x cos (2+ x*)
C. x sin (2 + x*)
D. x cos (2 + x2)
13. Find the derivative of arc csc (3x).
3
A.-
[xV9x÷=1]
C.
[rv1-9x*|
3
В.
D.
[3xV9x-1]
xV9x-1]
14. Find the derivative of arc sec (2x)
А.
xV4x=1]
С.
[zxv1-4x-|
2
В.
"xv4x-1]
D.
From 15-17 determine what type of discontinuity is presented
A. Jump
B. Essential
C. Remove
D. No Discontinuity
Jg(x) if r+ 1,
G(z) =
if r= 1.
16.
S(x) = tan a
17.
15.
18. It states that for each value between the least upper bound and greatest lower
bound of the image of a continuous function there is at least one point in its
domain that the function maps to that value.
A. Extreme Value Theorem
C. Fundamentals of Calculus
B. Intermediate Value Theorem D. Fundamentals of Continuity
19. Evaluate lim,» (x + e*)²/*.
В. 1
(1-)
* nina
В. 1
A. 0
С. e2
D. e?
lim
20. Evaluate
A. O
C. -0
d. -1
48
Transcribed Image Text:12. Find the first derivative of y = 2cos(2 +x?). A. -4x sin (2 + x²) B. 4x cos (2+ x*) C. x sin (2 + x*) D. x cos (2 + x2) 13. Find the derivative of arc csc (3x). 3 A.- [xV9x÷=1] C. [rv1-9x*| 3 В. D. [3xV9x-1] xV9x-1] 14. Find the derivative of arc sec (2x) А. xV4x=1] С. [zxv1-4x-| 2 В. "xv4x-1] D. From 15-17 determine what type of discontinuity is presented A. Jump B. Essential C. Remove D. No Discontinuity Jg(x) if r+ 1, G(z) = if r= 1. 16. S(x) = tan a 17. 15. 18. It states that for each value between the least upper bound and greatest lower bound of the image of a continuous function there is at least one point in its domain that the function maps to that value. A. Extreme Value Theorem C. Fundamentals of Calculus B. Intermediate Value Theorem D. Fundamentals of Continuity 19. Evaluate lim,» (x + e*)²/*. В. 1 (1-) * nina В. 1 A. 0 С. e2 D. e? lim 20. Evaluate A. O C. -0 d. -1 48
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