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