Derivative Rules

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

Author

jlim007

ID

13453

Card Set

Derivative Rules

Description

27 Derivative Rules

Updated

2010-04-07T16:28:36Z

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