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O HM V VI PHN.

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O HM TI 1 IM

Cho y = f(x) xc nh trong (a, b) x, x!t t" #$

0 0 0 0

0

( ) ( ) ( ) ( ) ( )f x f x f x f x x f x

x x x x

+ = =

%&' t" #$ trn c g*+* hn h-' hn .h* x /x

hay x / th0 f c o h2 t* x3

4t

0

00

( 0)

( )( ) lim

x xx

f xf x

x

=

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0( )

tan

f x

x

=

0tan ( )f x =

x x

f5(x) 6 h7 #$ gc t*&8 t'y&n c9a :;ng cong

(C)< y = f(x) t* t*&8 *2 M(x, f(x))

x

f(x)

x x

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o h2 tr* t* x* t* xng cFng thAc o h2 cc h2 2+*

( )

( )

( )

( )

2

2

2

2

1arcsin

1

1arccos

1

1arctan

1

1arccot

1

xx

xx

xx

x

=

=

=

+ = +

( )

( )

( )

( )

2

2

cosh sinh

sinh cosh

1tanh

cosh

1cothsinh

x x

x x

xx

xx

=

=

=

=

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o h2 h2 cho th^o tha2 #$

Cho cc h2 #$ < ( )

( )

x x t

y y t= =

%&' < _ x = x(t) c h2 ng:Kc t = t(x)

_ x(t) G y(t) c o h2, x5(t) `

( ) ( ). ( )y x y t t x =

( )( )

( )

y ty x

x t

=

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S? D

Cho n

[ ]

[ ]

( )

( )

sin( )

c

sin2

co) s2

os(

n

n

n

n

ax b

ax

a ax

b

b n

a ax b n

+ = + +

= + ++

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CFng thAc o h2 c8 cao

( )( ) ( ) ( )n n nf g f g =

( )( ) ( ) ( )

0

.

nn k k n k

nk

f g C f g

==

(cFng thAc ^*bn*t)

o h2 c8 cao

c9a tJng h*7' G* th^o x (b*&n c 6e8)* :a GR DtL(chU t?nh &n c8 L)