This document provides the basic derivative rules from Chapter 2. It lists various expressions and their derivatives on subsequent slides, including the derivatives of sums, products, quotients, composite functions, powers, trigonometric functions like sine, cosine, tangent, cotangent, secant and cosecant, and constants. The derivatives covered are: du/dv, df(g(x))/dx, dn/dx, d/dx cot(u), d/dx cu, d/dx tan(u), d/dx (u*v), d/dx c, d/dx cos(u), d/dx sec(u), dx/dx, and d/dx csc(

1. Ch 2 Derivative Rules

2. The following slide show
contains the basic
derivative rules from
Chapter 2. There will be
more later in the course.
You are first given the
expression, followed its
derivative on the next slide.

3. Differentiate
d
u v
dx

4. u v v u

5. Differentiate
d
sin u
dx

6. cos u u

7. Differentiate
d u
dx v

8. v u u v
2
v

9. Differentiate
d
f(g(x))
dx

10. f (g(x)) g (x)

11. Differentiate
d n
u
dx

12. n 1
n u u

13. Differentiate
d
cot u
dx

14. 2
csc u u

15. Differentiate
d
c u
dx

16. c u

17. Differentiate
d
tan u
dx

18. 2
sec u u

19. Differentiate
d
u v
dx

20. u v

21. Differentiate
d
c
dx

22. 0

23. Differentiate
d
cos u
dx

24. sin u u

25. Differentiate
d
sec u
dx

26. sec u tan u u

27. Differentiate
d
x
dx

28. 1

29. Differentiate
d
csc u
dx

30. csc u cot u u

31. The End