MAT2691 Mathematics II (MAT2691)
University of South Africa
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MAT2691 Assignment 1 2024
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MAT2691 Assignment 1 2024 ............ 100 % TRUSTED workings, explanations and solutions. For assistance call or W.h.a.t.s.a.p.p us on +/ 2/ 5/ 4 /7 /7 /9 /5 /4 /0 /1 /3 /2 . 
Question 1 [19] 
Find 
dx 
dy and 
d 
dy for the following functions, in their simplest form. Use identities to simplify 
trigonometric functions where possible. 
1.1
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MAT_2691 Assignment Q&A
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MAT_2691 Assignment Q&A 
QUESTION 1 
Determine 
dx 
dy of the following and simplify if possible. 
 
3 2 
2 3 2 
3 2 2 
2 2 
3 
1.1 implicit differentiation 
3 2 1 
2 1 3 
1 3 
2 
x y xy x 
dy dy 
x y x y x y 
dx dx 
dy 
x xy x y y 
dx 
dy x y y 
dx x xy 
 
 
 
 
 
 
 
 (5) 
 
 
2 
2 
2 
2 
1.2 8 logarithmic differentiation 
(8 ) 
1 8 
2 (8 ) 
8 
...
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MAT2691-Mathematics II Assignment 01 Semester 2 2022.
- Exam (elaborations) • 5 pages • 2022
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MAT2691-Mathematics II Assignment 01 Semester 2 2022. QUESTION 1 
Determine 
dx 
dy of the following and simplify if possible. 
 
3 2 
2 3 2 
3 2 2 
2 2 
3 
1.1 implicit differentiation 
3 2 1 
2 1 3 
1 3 
2 
x y xy x 
dy dy 
x y x y x y 
dx dx 
dy 
x xy x y y 
dx 
dy x y y 
dx x xy 
 
 
 
 
 
 
 
 (5) 
 
 
2 
2 
2 
2 
1.2 8 logarithmic differentiation...
![MAT2691 Assignment 1 2022](/docpics/62bebfcad83bd_1826020.jpg)
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MAT2691 Assignment 1 2022
- Exam (elaborations) • 5 pages • 2022
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SOLUTIONS2024
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MAT2691 Assignment 1 2022. 
MAT2691 - Mathematics II 
Determine 
dx 
dy of the following and simplify if possible. 
 
3 2 
2 3 2 
3 2 2 
2 2 
3 
1.1 implicit differentiation 
3 2 1 
2 1 3 
1 3 
2 
x y xy x 
dy dy 
x y x y x y 
dx dx 
dy 
x xy x y y 
dx 
dy x y y 
dx x xy 
 
 
 
 
 
 
 
 (5) 
 
 
2 
2 
2 
2 
1.2 8 logarithmic differentiation 
(8 ) 
1 8...
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