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Derivatives
derivatives of different functions
18
Mathematics
12th Grade
11/14/2010
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Term
f(x)= xn
 Definition
f'(x)= nxn-1
Term
f(x)= sinx
 Definition
f'(x)= cosx
Term
f(x)= cosx
 Definition
f'(x)= -sinx
Term
f(x)= tanx
 Definition
f'(x)= secx^2
Term
f(x)= cotx
 Definition
f'(x)= -cscx^2
Term
f(x)= secx
 Definition
f'(x)= secxtanx
Term
f(x)= cscx
 Definition
f'(x)= -cscxcotx
Term
f(x)= lnx
 Definition
f'(x)= 1/x
Term
f(x)= bx
 Definition
f'(x)= bxlnb
Term
f(x)= sinx-1
 Definition

f'(x)=

  1

√(1 - x2)

 

 
Term
f(x)= cosx-1
 Definition

f'(x)=

-1

 

√(1-x2)

 
Term
f(x)= tanx-1
 Definition

f'(x)=

1

 

1 + x2
Term
f(x)= cotx-1
 Definition

f'(x)= 

-1

1 + x2
Term
f(x)= secx-1
 Definition

f'(x)=

1

 

|x|√(x2 - 1)

 
Term
f(x)= cscx-1
 Definition

f'(x)=

-1

 

|x|√(x2 - 1)

 
Term
f(x)= ex
 Definition
f'(x)= ex
Term
f(x)= uv
 Definition
f'(x)= u'v + uv'
Term

f(x)=

u

v

 Definition

f'(x)=

(u'v - uv')

v2
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