Trng THPT Phm Kit TểM TT CễNG THC TNH O HM 1/ Cỏc quy tc tớnh o hm (Ký hiu U=U(x), V=V(x)) ( UV ) = UV + UV ( U V ) = U V U U.V U.V ữ= V2 V {f[U(x)]}/ = f ' u U x 2/ Cỏc cụng thc tớnh o hm: Teõn hm s Cỏc hm s thng gp Cụng thc o hm ( C ) =0 (C số) ( x ) =1 (kx)=k (k số ) ( x ) =n.x n-1 n Hm s lng giỏc Hm s m Hm logarớt (nN, n 2) ( sin u ) = cos u.u / / ( cos u ) = sin u.u / = + tan x cos x / ( cot x ) = = ( + cot x ) sin x ( tan u ) (x)/= x -1 (ex ) = ex (ax) = axlna (u)/= u -1u/ ( eu) = u eu ( au) = u au.lna / / = (x>0) x (ln /x/ ) = (x0) x ( log a x ) = (x>0, 00, 0 0) u = u Bng nguyờn hm cỏc hm s n gin s (u ) (x 0) ữ = x x (x>0) ( x ) = x ( tanx ) Hm ly tha o hm ca hm s hp ( ) / u / cos u / ( cot u ) = u / sin u / = u' (u>0) u u' ( ln /u/ ) = (u0) u u' ( log a u ) = (u>0, 0