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47 Cards in this Set

  • Front
  • Back
d/dx[cu]
cu'
d/dx[u +/- v]
u' +/- v'
d/dx[uv]
uv' + vu'
d/dx[u/v]
(vu' - uv')/v^2
d/dx[c]
0
d/dx[u^n]
nu^(n-1) u'
d/dx[x]
1
d/dx[|u|]
(u/|u|)*(u'), u ≠ 0
d/dx[ln u]
u'/u
d/dx[e^u]
e^u*u'
d/dx[log base a of u]
u'/((ln a)* u)
d/dx[a^u]
(ln a)*a^u*u'
d/dx[sin u]
(cos u) u'
d/dx[cos u]
-(sin u) u'
d/dx[tan u]
(sec^2 u) u'
d/dx[cot u]
-(csc^2 u) u'
d/dx[sec u]
(sec u tan u) u'
d/dx[csc u]
-(csc u cot u) u'
d/dx[arcsin u]
u'/(sqrt(1-u^2))
d/dx[arccos u]
-u'/(sqrt(1-u^2))
d/dx[arctan u]
u'/(1+u^2)
d/dx[arccot u]
-u'/(1+u^2)
d/dx[arcsec u]
u'/(|u| sqrt(u^2-1))
d/dx[arccsc u]
-u'/(|u| sqrt(u^2-1))
⨛kf(u)du
k⨛f(u)du
⨛[f(u) +/- g(u)] du
⨛f(u) du +- ⨛g(u) du
⨛du
u+c
⨛u^n du
((u^(n+1))/(n+1)) + c, n ≠ -1
⨛du/u
ln|u|+c
⨛e^u du
e^u + c
⨛a^u du
(1/ln a) a^u + c
⨛sin u du
-cos u + c
⨛cos u du
sin u + c
⨛tan u du
-ln|cos u| + c
⨛cot u du
ln|sin u| + c
⨛sec u du
ln|sec u + tan u| + c
⨛csc u du
-ln|csc u + cot u| + c
⨛sec^2 u du
tan u + c
⨛csc^2 u du
-cot u + c
⨛sec u tan u du
sec u + c
⨛csc u cot u du
-csc u + c
⨛du/(sqrt( a^2 - u^2))
arcsin (u/a) + c
⨛du/(a^2 + u^2)
(1/a) arctan (u/a) + c
⨛du/(u(sqrt( u^2 - a^2)))
(1/a) arcsec (|u|/a) + c
sin^2 u + cos^2 u
1
1 + tan^2 u
sec^2 u
1 + cot^2 u
csc^2 u