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46 Cards in this Set

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(u+v)' =
u'+v'
(uv)' =
vu'+uv'
(u/v)' =
(vu'-uv')/v^2
(lul)' =
uu'/lul
(logau)' =
u'/(ulna)
(a^u)' =
(lna)(a^u)u'
(sinu)' =
cosu
(cosu)' =
-sinu
(tanu)' =
sec^2u
(cotu)' =
-(csc^2u)
(secu)' =
secutanu
(cscu)' =
-cscucotu
(sin-1u)' =
u'/(1-u^2)^1/2
(cos-1u)' =
-u'/(1-u^2)^1/2
(tan-1u)' =
u'/(1+u^2)
(cot-1u)' =
-u'/(1+u^2)
(sec-1u)' =
u'/(lul((1-u^2)^1/2))
(csc-1u)' =
-u'/(lul((1-u^2)^1/2))
f'(t) =
lim (f(t+h) -f(t))/h
h->0
sin (a + b) =
sin (a) cos (b) + cos (a) sin (b)
sin (a - b) =
sin (a) cos (b) - cos (a) sin (b)
cos (a + b) =
cos (a) cos (b) - sin (a) sin (b)
cos (a - b) =
cos (a) cos (b) + sin (a) sin (b)
sin (a + b) + sin (a - b) =
2 sin (a) cos (b)
cos (a + b) + cos (a - b) =
2 cos (a) cos (b)
cos (a - b) - cos (a + b) =
2 sin (a) sin (b)
sinhx =
(e^x-e^-x)/2
coshx =
(e^x+e^-x)/2
x polar =
rcos@
y polar =
rsin@
r^2 =
x^2+y^2
1+tan^2 =
sec^2
1+cot^2 =
csc^2
S(a^x) =
a^x/lna
S(lnx) =
xlnx-x
S(tanx) =
lnlsecl
S(cotx) =
lnlsinxl
S(secx) =
lnlsecx+tanxl
S(cscx) =
lnlcscx-cotxl
S(sec^2) =
tanx
S(secxtanx) =
secx
S(csc^2) =
-cotx
S(cscxcotx) =
-cscx
S(tan^2) =
tanx-x
S(dx/(a^2+x^2)) =
1/a(arctan(x/a))
S(dx/(a^2-x^2)^1/2) =
arcsin(x/a)