# Calculus

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1. Derivative of a constant
d/dx(c)=
zero
2. The power rule
d/dx(xn)=
nxn-1
3. d/dx[cf(x)]=
c d/dx f(x)
4. The sum rule: d/dx[f(x) + g(x)]=
d/dx f(x) + d/dx g(x)
5. The difference rule:
d/dx[f(x)-g(x)]=
d/dx f(x) - d/dx g(x)
6. Product Rule:
(f(x)g(x))'=
fg ' + gf '. Or d/dx[f(x)g(x)]= f(x) d/dx g(x) + g(x) d/dx f(x)
7. Quotient Rule:
(f/g)'=
(gf ' - fg ')/g2
8. d/dx (sin x)=
cos x
9. d/dx (cos x)
- sin x
10. d/dx (tan x)
sec2x
11. d/dx (csc x)=
-csc x cot x
12. d/dx (sec x)=
sec x tan x
13. d/dx (cot x)=
-csc2x
14. Chain rule:
If F(x)= f(g(x)), then F(x)' =
F(x)'= f ' (g(x))g'(x). Derivative of the outer function * inner function * derivative of the inner function
15. Power Rule Combined with the Chain rule:
d/dx (un)=
nun-1 du/dx
 Author: lbwiggains ID: 41646 Card Set: Calculus Updated: 2010-10-18 20:30:33 Tags: Stewart Calculus Differentiation Integration Folders: Description: Review for rules of differentiation and integration, Stewart Textbook 5th ed. Show Answers: