# Shared Flashcard Set

## Details

Derivatives and Integrals
calculus, derivatives, integral, formulas
37
Mathematics
04/17/2011

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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