Exam (elaborations)

MAT2691 Assignment 1 2022

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Course
MAT2691 - Mathematics II (MAT2691)

Institution
University Of South Africa

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     �...

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Uploaded on July 1, 2022
Number of pages 5
Written in 2021/2022
Type Exam (elaborations)
Contains Questions & answers

mat2691
mat2691 mathematics ii
mathematics ii
mat2691 assignment 01 semester 2 2022
mat2691 assignment 01 semester 2
mat2691 assignment 1 2022

SOLUTIONS2024 Member since 2 year 805 documents sold

MAT2691
Assignment 01
Semester 2
2022.

, Assignment 01 Semester 2

This assignment contributes 40% to your year mark.

QUESTION 1
dy
Determine of the following and simplify if possible.
dx

1.1 x 3y  xy 2 x implicit differentiation
 2 3 dy   2  dy  
 3x y  x    y  x  2 y   1
 dx    dx  
dy 3
dx
 x  2 xy   1 3x 2y  y 2

dy 1  3x 2y  y 2

dx x 3  2 xy (5)
x2
1.2 y  8 x  logarithmic differentiation
ny  x 2 n(8x)
1 dy  8  (5)
 2 x n (8 x)  x 2  
y dx  8x 
dy x2
 8 x   2 x n (8 x)  x 
dx
 2x 
1.3 y  arctan  2 
1 x 

Put f  x  
2x
, then f '  x  
1  x 2   2    2 x  2 x 
1  x2
1  x 2 
2

2  2 x2  4 x2

1  x 2 
2

2 1  x 2 

1  x 2 
2

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Exam (elaborations)

MAT2691 Assignment 1 2022

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