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Derivatives and Integrals
calculus, derivatives, integral, formulas
37
Mathematics
12th Grade
04/17/2011
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Term
d/dx[cu]
 Definition
cu'
Term
d/dx[u(+-)v]
 Definition
u'(+-)v'
Term
d/dx[uv]
 Definition
uv'+vu'
Term
d/dx[u/v]
 Definition
vu'-uv'/v2
Term
d/dx[c]
 Definition
Term
d/dx[u^n]
 Definition
nu^(n-1)u'
Term
d/dx[x]
 Definition
1
Term
dx[ln u]
 Definition
u'/u
Term
d/dx[log(a)u]
 Definition
u'/ln(a)u
Term
d/dx[e^u]
 Definition
e*(u)u'
Term
d/dx[a*u]
 Definition
ln(a)a^(u)u'
Term
d/dx[sinu]
 Definition
(cosu)u'
Term
d/dx[cosu]
 Definition
-(sinu)u'
Term
d/dx[tanu]
 Definition
(sec2u)u'
Term
d/dx[secu]
 Definition
(secutanu)u'
Term
d/dx[arcsinu]
 Definition
u'/(1-u2)^1/2
Term
d/dx[arctanu]
 Definition
u'/1+u2
Term
d/dx[cotu]
 Definition
-(csc2u)u'
Term
d/dx[cscu]
 Definition
-(cscucotu)u'
Term
d/dx[arccosu]
 Definition
-u'/(1-u2)^1/2
Term
kf(u)du
 Definition
k~f(u)
Term
~[f(u)+-g(u)]du
 Definition
~f(u)+- ~g(u)
Term
~du
 Definition
u+c
Term
~du/u
 Definition
ln{u}+c
Term
~sinudu
 Definition
-cosu+c
Term
~tanudu
 Definition
-ln{cosu}+c
Term
~secudu
 Definition
ln{secu+tanu}+c
Term
~sec2udu
 Definition
tanu+c
Term
~secutanudu
 Definition
secu+c
Term
~u^(n)du
 Definition
u^n+1)/n+1 +c
Term
~e^udu
 Definition
e^u+c
Term
~a^(u)du
 Definition
a^(u)/ln(a) +c
Term
~cosudu
 Definition
sinu+c
Term
~cotudu
 Definition
ln{sinu}+c
Term
~cscudu
 Definition
-ln{cscu+cotu}+c
Term
~csc2udu
 Definition
-cotu+c
Term
~cscucotudu
 Definition
-cscu+c
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