babouin.py

Created on December 17, 2024

524 Bytes

1) V=1/3pir^^2xh
r=OA=10cm
h=SO=15cm
V=500picm^^3

2)k=rpetit/rgrand=SO'/SO=3/15=1/5
3)V'=Vxk^^3=500pix(1/5)^^3=4picm3

1)f(x)=1/x
Df=(xeR,xpas0)
limxtend0+ f(x)=+inf
limxtend0- f(x)=-inf
2)f(x)=x+1/x-2
df=(xeR,xpas2)
limxtend2+ f(x)=+inf
limxtend2- f(x)=-inf
3)f(x)=Vx^^2+4x
df=(xeR,x^^2+4x suppouegal0)
=xe)-inf,-4)U(0,+inf(
4)f(x)=x/Vx-2
df(xeR,x-2supp0)

1)f'(x)=3x^^2-4x+2
2)f'(x)=x-2-x-1/(x-2)^^2
3)f'(x)=4/2V4x=2/V4x
4)f'(x)=3(x-1/x+1)^^2x((u'xv-uxv')/v^^2
=3(x-1/x+1)^^2xé/(x+1)^^2=6(x-1)^^2/(x+1)^^4

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