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Derivatives
Derivatives of Functons for AP Calc
18
Mathematics
12th Grade
11/29/2016

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Cards

Term

 d   un

dx     

 

Definition
nun-1 · u'
Term

           

 d  √u

dx         

Definition

  1   ·u'

2√u    

Term

 d  eu

 dx     

Definition
eu · u'
Term

ln(u)

dx        

Definition

 1  · u' 

u       

Term

au

dx     

Definition
ln(a) · au · u'
Term

Loga u

dx            

 

Definition

   1      · u'

ln(a)·u     

Term

 d  sin(u)

dx            

Definition
cos(u) · u'
Term

 d  cos(u)

dx          

Definition
-sin(u) · u'
Term

 d  tan(u)

dx          

Definition
sec2(u) · u'
Term

 d  cot(u)

dx         

Definition
-csc2(u)· u'
Term

 d  sec(u)

dx          

 

Definition
sec(u)tan(u)· u'
Term

 d  csc(u)

dx         

Definition
-csc(u)cot(u)· u'
Term

 d  arcsin(u)

dx             

Definition

    1      · u'

√(1-u2)      

Term

 d  arccos(u)

dx              

Definition

   -1      · u'

√(1 - u2)     



Term

 d  arctan(u)

dx              

Definition

   1    · u'

1 + u2    

Term

 d  uv

dx    

Definition
uv' + vu'
Term

 d  u

dx  v

Definition

vu' - uv'

v2

Term

f(g(x))

dx          

Definition
f'(g(x)) · g'(x)
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