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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)