Regole di derivazione
∫Derivate √ N 2 n√1/ x x2 x ∑ +12 N+ )o(x( )2 n !x
Regole di derivazione: n∫ n=0( )cosh xxn 2 4x x(n)ln( (x)f x) f ' +1+∫ 2 24−cos( )sin( x) x( ) )af x af '( x 3 5 7x 2 x 17 x∫' '( )+ ( ) ( )+ ( )f x g x (x)f x g x cos (sen x) (x)tan + +x+ 3 15 315' '( ) ( ) ( ) ( ) ( ) ( )f x g x +f x g x f x g x 1∫ 3 5 7(x)tan x 2 x 17 x' ( ) ( )−f ( ) (tanh x) + −2 x−(x) )f f x g x x g '( x (x )cos 3 15 3151( 2g x) (x )g ∫ N ( )(x)−cotan( )x an∑ n N+ )2 x o( x( )' sin( )( )(g )f x (x )f g x g ' n=0a1 (1+ x)
Derivate
∫ ( 2arctan x) ( ) ( )(a a−1 x a a−1 a−22 +1x + +1+ax(x) (f f ' x) 2 61 ( )arcsin x∫a 0 N 2 n+1x√ ∑2 +2n 2 N1−x (−1) + )o( xn n−1x nx 2 n+1
Fratti semplici
: n=0(arctan x)( (sin x) cos x) 3 5+bA Ax x x( −sin ( )cos x) x ; +x−x ± a 3 52 +ax( ( )sinh x) cosh x
Limiti notevoli
( ) (cosh x sinh x) Il denominatore non è scomponibile. Limite Risultato1 Formula di Mc Laurin:(tan x) (1+ ) 1log x a>02 (cos x) alimN n ((0) ln a)f x a≠ 1∑1 n x→ 0( )= + (x)f x x R(cotan x) N xn ! −1a2−sin (x ) n=0 (ln a)>0lim ax1 x→ 0
Formula di Taylor
( )arcsin x c(1+ ) −1x√ 2 c1−x limnN (x )f x∑ 0 n( ) = (x−x )−1 f x x→ 00 0n !( )arccos x )sin(x√ n=02 1lim1−x xx→ 01 N∑ (1−cos x)( 1n Narctan x) +o ( )1 x x lim2 +1x 2 2n=0 x1−x x→ 0−1 2 3 4 5+ + +1+ x+ x x x x)arccotan( x tan( x)2 1lim+1x N∑ xn n N(−1) + )1 x o( x x→ 0log ea(x ) (log a)
Recensioni
Illegible,le formule sono sfasate e non sì riescono a leggere
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