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Calculus derivatives
Derivatives you need to know for the test.
16
Mathematics
12th Grade
04/20/2009
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Term
Derivative of sin x
 Definition
cos x
Term
derivative of cos x
 Definition
- sin x
Term
derivative of tan x
 Definition
sec 2 x
Term
derivative  of cot x
 Definition
- csc 2 x
Term
derivative of sec x
 Definition
sec x tan x
Term
derivative of csc x
 Definition
-csc x cot x
Term
derivative of sin  -1 x
 Definition
1/ √ ( 1 - x 2 )
Term
derivative of cos  -1 x
 Definition
-1 / √ ( 1- x 2 )
Term
derivative of tan  -1  x
 Definition
1/ ( 1 + x 2 )
Term
derivative of cot -1 x
 Definition
-1 /( 1 + x 2 )
Term
derivative of sec -1 x
 Definition
1/ x √ ( x 2 -1 )
Term
derivative of csc -1 x
 Definition
-1/ x √ (x 2 -1 )
Term
derivative of a x
 Definition
a x ln a
Term
derivative of log a x
 Definition
1/ (x ln a)
Term
derivative of u v
 Definition
u dv + v du
Term
derivative of u / v
 Definition
(v du - u dv) / v 2
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