[PDF] Searches related to fonction partie entière cours pdf filetype:pdf



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Searches related to fonction partie entière cours pdf filetype:pdf x D y f:D !R x7!f(x) f(x) Ƕxf x f(x)f f f(x) = 2x+3

Ƕ 2f(2)

= 22+3 = 7:

4f(x) = 4Ƕ

2x+3 = 4,2x= 1,x=1

2 1 2

Ƕ f Df

Ƕ xɍf(x) ɍ Ƕ f(x)

f f(x) = 2x+3 D f=R x2R2x+3 g:x7!1 2x4 D g=Rnf2gg x2R 2x4,02x,4x,2 NDAB x7!1 x RN D ()D,0 x7!p x R+p

A()A>0

x7!ln(x) R+ln(B)()B >0 f(x) =x+3 x

24g(x) =p

1x h(x) = ln(x29):

f xDf=Rnf2;2g g x2 Dg()1x>0 ()x61

Dg=]1;1]?

h x2 Dh()x29>0 ()(x3)(x+3)>0 ()x <3x >3

Dh=]1;3[[]3;+1[

x x3 x+ 3 (x3)(x+ 3) 1 3 3 +1 0 0 0 0 f Df (O;~i;~j) ĕ f Ƕ

M (x;f(x))x2 Df

1 2 3 4

1 1 2 31
2 C f x f(x) Cf C f=n(x;f(x))jx2 Dfo:

Ƕ 8x2 Df8y2RM(x;y)2 Cf()y=f(x):

f Df E

R E Df E f f(E)

f(E) =ff(x)jx2Eg=fy2Rj 9x2E; y=f(x)g: f f(x) =p x 21
x f 0(x) f 1 1 1 +1 +1 +1 0 0 0 +1 +1

Df=]1;1][[1;+1[

x21 = (x1)(x+1)>0x2]1;1][[1;+1[

Ƕ f f(]1;1][[1;+1[) = [0;+1[

ā f(Df) Ƕ

fg

DfDg f(Df) Dg fg

gf Ŀgfŀ Df (gf)(x) =g(f(x)): f(x) =x2; g(x) =p x; h(x) = ex: fg

Df=RDg=R+ g(Dg) Df

x2 Dg(fg)(x) =f(g(x)) =f(p x) = (p x)2=x: gf

Df=RDg=R+ f(Df) =R+=Dg x2 Df

(gf)(x) =g(f(x)) =g(x2) =p x

2=jxj:

fh

Df=RDh=R h(Dh) Df

x2 Dh(fh)(x) =f(h(x)) =f(ex) = (ex)2=e2x: hf

Df=RDh=R f(Df) Dh x2 Df

(hf)(x) =h(f(x)) =h(x2) = ex2: gh

Dh=RDg=R+ h(Dh) =R+=Dg x2 Dh

(gh)(x) =g(h(x)) =g(ex) =p e x: hg

Dg=R+Dh=R g(Dg) Dh x2 Dg

(hg)(x) =h(g(x)) =h(p x) = ep x f 8x2 Df;x2 Dff(x) =f(x) f 8x2 Df;x2 Dff(x) =f(x) x7!x2 x7!1 x

DfǶ f

8x2R; x2 Df) x2 Df

Df

Ƕ]1;5[[]5;+1[

ǶRnf2;2g

ǶRnf1gǶ

Ƕ f Df

Ƕ fǶ

x Df f(x)f(x) f(x) f(x) =f(x) f f(x) =f(x) f x02 Df f(x0),f(x0)f(x0),f(x0) fǶ f(x) =exex x g(x) =x5 x

24h(x) =x3x2:

Df f x

Df=R x2 Df f(x) =exe(x) x=exex x =exex x =f(x): f

Dg g x

x24,2(x2)(x+2),0 Dg=Rnf2;2g x2 Dg g(x) =(x)5 (x)24=x5 x

24=g(x):

g h xDh=R x2 Dh h(x) = (x)3(x)2=x3x2=(x3+x2),h(x),h(x):quotesdbs_dbs2.pdfusesText_3