Exam (elaborations)
DSC1520 Assignment 5 2024
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DSC1520 Assignment 5 Semester 1 2024
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By: moribulamorema492 • 6 months ago
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DSC1520-24-S1 Welcome Message Assessment 5QUIZ
Started on Friday, 3 May 2024, 4:45 AM
State Finished
Completed on Friday, 3 May 2024, 5:54 AM
Time taken 48 mins 49 secs
Grade 100.00 out of 100.00
Question 1
Correct
Mark 7.00 out of 7.00
Evaluate
2
d x − x
[ ].
−
dx √x
a. 1
−
3 −
√x
2√ x 2
−
b. 3
√x −
1
2 2√ x
c. 3 −
√x +
1
2 2√ x
d. 2 −
√x +
1
3 2√ x
Your answer is correct.
The correct answer is:
1 3 −
− √x
2√ x 2
,Question 2
Correct
Mark 5.00 out of 5.00
Find the derivative of the function
3 2
f (x) = x − 3x .
a. 3x
2
− 6x
b. 3x − 6x
c. 3x
2
− 6x
2
d. 3x
2
− 6
Your answer is correct.
The correct answer is:
2
3x − 6x
Question 3
Incorrect
Mark 0.00 out of 7.00
Differentiate
2 3
y = (x + 4)(2x − 1).
a. 5x
4
+ 12x − x
b. 4x
4
+ 12x − x
c. 10x
4
+ 24x + −x
d. 5x
4
+ 12x + x
Your answer is correct.
The correct answer is:
4
5x + 12x − x
,Question 4
Correct
Mark 7.00 out of 7.00
Differentiate the function
3 2x
P (x) = x e .
a. 2 2x
x e (2x + 3)
b. 2x
e (2x + 3)
c. 5 2x 3 2
x e (x + 3x )
d. 5x e
5 4x
Your answer is correct.
The correct answer is:
2 2x
x e (2x + 3)
Question 5
Correct
Mark 7.00 out of 7.00
Find the derivative
x
y = 14 + ln ( ).
−−−−
−
√x + 5
a. x+10
2x(x+5)
b. 2x(x + 5)
c. 3x+10
2x(x+5)
d. 10
2x(x+5)
Your answer is correct.
The correct answer is:
x+10
2x(x+5)
,Question 6
Correct
Mark 7.00 out of 7.00
Find the derivative
2
d
(20 + 20 ln Q) .
dQ
a. 800
(1 + ln Q)
Q
b. 2(20 + 20 ln Q
c. 1
40(1 + )
Q
d. 20
(1 + ln Q)
Q
Your answer is correct.
The correct answer is:
800
(1 + ln Q)
Q
Question 7
Correct
Mark 7.00 out of 7.00
Find the derivative
2
x + 6
f (x) = .
2x + 5
a. 2(x+6)(x−1)
2
(2x+5)
b. 2x−12
2
(2x+5)
c.
2
2(x +6)
−
2
(2x+5)
d. −
2(x+6)(x−1)
2
(2x+5)
Your answer is correct.
The correct answer is:
2(x+6)(x−1)
2
(2x+5)
,Question 8
Correct
Mark 7.00 out of 7.00
Differentiate
5
−1
y = 5x + 3x 2 + 300.
−−
a. −
5
2
+
15
√x3
x 2
3 −−
b. −
5
2
+
15
√x3
x 2
−−
c. −5 +
15
√x3
2
−−
d. −
5
2
+
5
√x3
x 2
Your answer is correct.
The correct answer is:
5 15 −−
− + √x3
2
x 2
Question 9
Correct
Mark 7.00 out of 7.00
Differentiate the following function
2
f (x) = −2x + 10x − 8.
a. −4x + 10
b. 4x
2
+ 10x
c. 4x + 10
d. 2x + 10
Your answer is correct.
The correct answer is:
−4x + 10
, Question 10
Correct
Mark 4.00 out of 4.00
If
3
y = x + 3,
then
a. dy
= 3x
2
dx
b. dy
= 3x
3
dx
c. dy
= −3x
3
dx
d. dy
= 3x
3
+ 3
dx
Your answer is correct.
The correct answer is:
dy
2
= 3x
dx
Question 11
Correct
Mark 7.00 out of 7.00
Find the second derivative of
4 3 2
y = x − 6x + 12x − 8x.
a. y "= 12x
2
− 36x + 24
b. y "= 12x
2
− 36x − 24
c. y "= 4x
3
− 18x
2
+ 24x − 8
d. y "= 12x
3
− 36x
2
− 24x
Your answer is correct.
The correct answer is:
2
y "= 12x − 36x + 24
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