Table of derivatives and basic rules differentiation
1. 
2. ; in particular 
3. ; in particular 
4. ; in particular 
5. 6. 
7. 8. 
9. 10. 
11. 12. 
Basic rules for finding derivative If С is a constant and u, v are functions of х that have derivatives, then:
13. 14. 
15. 16. 
If and that is where the functions y and u have derivatives, then .
I. Notations for the Derivative
The derivative of may be written in any of the following ways:
, , , , or .
II. Basic Differentiation Rules
A. Suppose c and n are constants, and f and g are differentiable functions.
(1) 

(2) 


(3) 



(Product Rule)
(4) 
.
This derivative rule is called the Quotient Rule.
(5) 

(6) 

(7) 



(Power Rule)
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