Derivative Rules
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d/dx [cu] =
cu'
d/dx [u ± v] =
u'± v'
d/dx [uv]=
uv' + vu'
d/dx [u/v]=
vu'-uv'/v²
d/dx [c]=
0
d/dx [uⁿ]=
nuⁿ⁻¹u'
d/dx [x]=
1
d/dx [|u|]=
u/|u|(u') , u≠0
d/dx [ln u]=
u'/u
d/dx [eⁿ]=
eⁿn'
d/dx [log a u]=
u'/ln(a)u
d/dx [aⁿ]=
(ln a)aⁿn'
d/dx [sin u]=
(cos u)u'
d/dx [cos u]=
-(sin u)u'
d/dx [tan u]=
(sec²u)u'
d/dx [cot u]=
-(csc²u)u'
d/dx [sec u]=
(sec u tan u)u'
d/dx [csc u]=
-(csc u cot u)u'
d/dx [arcsin u]=
u'/√1-u²
d/dx [arccos u]=
-u'/√1-u²
d/dx [arctan u]=
u'/1-u²
d/dx [arccot u]=
-u'/1-u²
d/dx [arcsec u]=
u'/|u|√u²-1
d/dx [arccsc u]=
-u'/|u|√u²-1
cos (0) =
1
sin (0)=
0
e⁰=
1
Card Set Information
Author:
jlim007
ID:
13453
Filename:
Derivative Rules
Updated:
2010-04-07 16:28:36
Tags:
Derivative Rules
Folders:
Description:
27 Derivative Rules
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