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Posted: April 13th, 2023
Math essay
MIAMI DADE COLLEGE PROFESSOR; RAYSURI A. ZAITER-CICCONE
MAC 2233 SPRING 2021
MAC 2233 Homework 3 Spring 2021
Name___________________________________
Show all work in the space provided. If no work is shown, the problem
will receive at most half credit for a correct answer.
Technique and rules to compute
the derivative
For each problem from problem 41) to 49), given ( ) compute
it derivative function ′( ) .
41) ( ) =
2−
2
3
2+1
42) ( ) = (
3 + 2 − 7)(3 + −
2
)
43) ( ) = √
2 + 1
MIAMI DADE COLLEGE PROFESSOR; RAYSURI A. ZAITER-CICCONE
MAC 2233 SPRING 2021
44) ( ) = ( +
1
)
2
−
5
√3
45) ( ) = (5
4 − 3
2 + 2 + 1)
10
46) ( ) = (
+1
1−
)
2
47) ( ) = (3 + 1)√6 + 5
MIAMI DADE COLLEGE PROFESSOR; RAYSURI A. ZAITER-CICCONE
MAC 2233 SPRING 2021
48) ( ) =
(3 +1)
3
(1−3 )
4
49) ( ) = √
1−2
3 +2
From problem 50) to 52) find the equation of
The Tangent-Line for given function ( ) at a given = .
50) ( ) =
2 − 3 + 2 ; = 1
MIAMI DADE COLLEGE PROFESSOR; RAYSURI A. ZAITER-CICCONE
MAC 2233 SPRING 2021
51) ( ) =
x
2+1
; = 0
52) ( ) = √
2 + 5 ; = −2
For problem 53) and 54) Find the rate of change of ( )
with respect to at the given value of .
53) ( ) =
2
2−5
1−3t
; = −1
MIAMI DADE COLLEGE PROFESSOR; RAYSURI A. ZAITER-CICCONE
MAC 2233 SPRING 2021
54) ( ) = ( t
2 − 3 + 6 )
1
2 ; = 1
For problem 55) and 56) Find the Percentage-Rate of
change of ( ) with respect to at the given value
of .
55) ( ) =
2 − 3 + √ ; = 4
56) ( ) =
2
1+
2
; = 0
For problem 57), 58) and 59)Find the 2nd
–derivatives:
57) ( ) = 6
5 − 4
3 + 5
2 − 2 +
1
MIAMI DADE COLLEGE PROFESSOR; RAYSURI A. ZAITER-CICCONE
MAC 2233 SPRING 2021
58) ( ) =
2
1+
2
59) ( ) = (3
2 + 2)
4
60) For the function ( ) given below,
Find the nth-derivative
( )( ) .
( ) =
1
1−
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