21. Determine whether the function g(x) =2+x, x<2 a. Continuous b. Discontinuous is continuous at x=2. 16 - x, x22 c. Undefine d. Indeterminate Test II. Match the definition in column A to the corresponding theories in column B. Column A Column B a. Composite Function Derivatives b. Power Rule c. Constant Rule d. Constant Multiple Rule e. Sum Rule f. Chain Rule E Product Rule h. Quotient Rule 23.() = 0 24(*") = nx*-1 25. lef (x) = crx) 27. (f • g)x = r"(@(x))oʻ(x) Test II. Solve for the derivative of each of the following. Pick your answer from the given choices inside the box below. If the answer cannot be found in the given options, write E. 1/(t-1) 5(x-1)^5 2x S(x-1)^5(x-1) -2/(x-1)^2 2/(t-1) x*2 2/(x-1^2 28. 음5 29.습(x+ 10(x-1) 30.음 (x-1)" 31음 () 32. x = 2t2 - 4t and y = 4t - 2 find

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Question
(2 +x, x< 2
16 - x, x 22
is continuous at x=2.
21. Determine whether the function g(x):
a. Continuous
b. Discontinuous
c. Undefine
d. Indeterminate
Test II. Match the definition in column A to the corresponding theories in column B.
Column A
Column B
a. Composite Function Derivatives
23.음 (0)-0
24(a") =
b. Power Rule
c. Constant Rule
d. Constant Multiple Rule
=nx"-1
25. 음더(3) -/0)
e. Sum Rule
f. Chain Rule
8. Product Rule
h. Quotient Rule
27. (f • g)'x = f"(g(x)ø'cx)
Test III. Solve for the derivative of each of the following. Pick your answer from the given choices inside
the box below. If the answer cannot be found in the given options, write E.
1/(t-1)
5(x-1)^5
2x
5(x-1)^5(x-1)
-2/(x-1)^2
2/(t-1)
x^2
2/(x-1)^2
28.음5
29. (x + 1)(x – 1)
30.음 (x-1)"
31. ()
32. x = 2t2 – 4t and y = 4t – 2 find
Transcribed Image Text:(2 +x, x< 2 16 - x, x 22 is continuous at x=2. 21. Determine whether the function g(x): a. Continuous b. Discontinuous c. Undefine d. Indeterminate Test II. Match the definition in column A to the corresponding theories in column B. Column A Column B a. Composite Function Derivatives 23.음 (0)-0 24(a") = b. Power Rule c. Constant Rule d. Constant Multiple Rule =nx"-1 25. 음더(3) -/0) e. Sum Rule f. Chain Rule 8. Product Rule h. Quotient Rule 27. (f • g)'x = f"(g(x)ø'cx) Test III. Solve for the derivative of each of the following. Pick your answer from the given choices inside the box below. If the answer cannot be found in the given options, write E. 1/(t-1) 5(x-1)^5 2x 5(x-1)^5(x-1) -2/(x-1)^2 2/(t-1) x^2 2/(x-1)^2 28.음5 29. (x + 1)(x – 1) 30.음 (x-1)" 31. () 32. x = 2t2 – 4t and y = 4t – 2 find
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