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Calculus (Math 210) Rules
Rules to memorize and identities I should know
41
Mathematics
Undergraduate 1
02/25/2014
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Term
d/dx (cosx)
 Definition
-sinx
Term
d/dx (sinx)
 Definition
cosx
Term
d/dx (tanx)
 Definition
sec2x
Term
d/dx (cotx)
 Definition
-csc2x
Term
d/dx (secx)
 Definition
secxtanx
Term
d/dx (cscx)
 Definition
-cscxcotx
Term
d/dx (sinu)
 Definition
cosu · u'
Term
d/dx (cosu)
 Definition
-sinu · u'
Term
d/dx (tanu)
 Definition
sec2u · u'
Term
d/dx(cot u)
 Definition
-csc2u · u'
Term
d/dx(sec u)
 Definition
secutanu · u'
Term
d/dx(csc u)
 Definition
-cscucotu · u'
Term
d/dx (ax)
 Definition
ln(a)ax
Term
d/dx (au)
 Definition
ln(a)au · u'
Term
d/dx (ex)
 Definition
ex
Term
d/dx (eu)
 Definition
eu · u'
Term
d/dx (lnx)
 Definition

1

x

 
Term
d/dx (lnu)
 Definition

u'

u

 
Term
d/dx (logax)
 Definition

1

ln(a)x

 
Term
d/dx (logau)
 Definition

u'

ln(a)u

 
Term
logbMN
 Definition
logbM+logbN
Term
logbM/N
 Definition
logbM-logbN
Term
logbMP
 Definition
PlogbM
Term
cotθ
 Definition

1

tanθ
Term
secθ
 Definition

1

cosθ
Term
cscθ
 Definition

1

sinθ
Term
cotθ
 Definition

cosθ

sinθ

 
Term
secθ
 Definition

1

cosθ

 
Term
cscθ
 Definition

1

sinθ

 
Term
sin2θ+cos2θ
 Definition
1
Term
tan2θ+1
 Definition
sec2θ
Term
1+cot2θ
 Definition
csc2θ
Term
sin(∏/2-θ)
 Definition
cosθ
Term
cos(∏/2-θ)
 Definition
sinθ
Term
tan(∏/2-θ)
 Definition
cotθ
Term
sin(-θ)
 Definition
-sinθ
Term
cos(-θ)
 Definition
cosθ
Term
tan(-θ)
 Definition
-tanθ
Term
sin2θ
 Definition
2sinθcosθ
Term
cos2θ
 Definition
cos2θ-sin2θ
Term
cos2θ
 Definition
1-2sin2θ
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