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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


(sin1u)' =

u'/(1u^2)^1/2


(cos1u)' =

u'/(1u^2)^1/2


(tan1u)' =

u'/(1+u^2)


(cot1u)' =

u'/(1+u^2)


(sec1u)' =

u'/(lul((1u^2)^1/2))


(csc1u)' =

u'/(lul((1u^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^xe^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) =

xlnxx


S(tanx) =

lnlsecl


S(cotx) =

lnlsinxl


S(secx) =

lnlsecx+tanxl


S(cscx) =

lnlcscxcotxl


S(sec^2) =

tanx


S(secxtanx) =

secx


S(csc^2) =

cotx


S(cscxcotx) =

cscx


S(tan^2) =

tanxx


S(dx/(a^2+x^2)) =

1/a(arctan(x/a))


S(dx/(a^2x^2)^1/2) =

arcsin(x/a)
