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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