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Mathematics II
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Mathematics II is a challenging module which needs constant practice, this is one of the modules which will remind you that you are no longer at High School, so it is best if you just take your time to practice this. This document is free so that you can kick start your year with positive results a...

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  • January 1, 2023
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  • 2022/2023
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Derivative Practice


Mathematics 1 (Vaal University of Technology)




Studocu is not sponsored or endorsed by any college or university
Downloaded by MOTHIBELI MAKOANYANA (218110626@edu.vut.ac.za)

, lOMoARcPSD|5769186




Practice Problems on Derivative Computing (with Solutions)

This problem set is generated by Di. All of the problems came from past exams of Math 221. For
derivative computing – unlike many of other math concepts – more lectures do not help much, and
nothing compares to practicing on one’s own! The idea of this problem set is to get enough practice,
till the point that it becomes hard to make any mistake. :)

√
3
1. y = x2 sin x
tan x
2. y = x3 +2
3
3. y = x4 + sin x cos x
x3 −2x
4. y = x+3
√ 10
5. y = x2 − 1 + 1
√
6. y = cos x2 tan x + 1
 

7. y = cos (cos (cos (3x)))
q
8. y = 1+x
2−x
√
9. y = x2 ( x + 2)
√ 4π

10. f (x) = 2 x2 + 1 + sin 5
sin x
11. h (x) = 2x−3
1 2
12. y = x3 + 2x3
− √
3x


13. y = sin (5x) cos (3x)
4
14. y = cos x2 + cos2 x


15. y = 12 + x cos x + x5

16. y = x2 + x − 1 sin x cos2 x


 
17. y = cos x2 + x+1x


x2 −2
18. y = x4 +1
√
19. y = x2 3 tan x
√ 5
20. y = x2 + 1 + x
√
21. y = 1 − cos x (tan x)3
sin(x3 )
22. y = sin(x2 )

23. y = x3 + sin (x) cos2 (x)

1




Downloaded by MOTHIBELI MAKOANYANA (218110626@edu.vut.ac.za)

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