f(x)=ex(x-2) noA.V. ni A.H(+∞) y=0 A.H en (-∞)
limf(x)x→-∞=limx→+∞ (-x-2)/ex=∞/∞ L'H limx→+∞=1/∞=0
f'(x)=ex(x-2) +ex(1)=ex(x-1) f'(x)=0 (x-1)=0 ex no se anula nunca
f'(0)=<0 decrec="">0><1 >1 >'(2)=>0 crec x>1x=1min relat =-e
f''(x)=ex(x) f''(-1)=<0 concav="">0><0>0>''(1)=>0 convex x>0 f(0)=-2
a)
...a y b fx=ax²+blnx f'(1)=0 f(x)=ax²+bln(x)
f'(x)=2ax + b/x 2a+b=0 b=-2a
f(x)=ax²-2alnx
∫41f(x)dx=27-8ln(4) ∫41 (ax² - 2aln(x))dx=27-8ln(4)=
=...
f(x)=x²-8lnx f'(x)derivabl n(0,∞) f'(x)=2x-(8/x)=0→x=-2(no) x=2
f'(1,5)=2(1,5)-(8/1,5)=-2,3<0 decrec="">0>
f'(2,5)=2(2,5)-(8/2,5)=1,8>0 crecient (2,e)
f(1)=1-0=1 f(e)=0,61 f''(x)=2+(8/x²) f''(2)=2+2=4>0convex(1,e)
f(x)=x³-4x f(1)=1³-4=-3 f'(x)=3x²-4 f'(1)=3(1)²-4=-1
y+3=-1(x-1)=x+1 y=-x-2 limf(...
HF + H20 ↔ F- + H3O+ (concentr) Ca: 0,0010 mol/L (M) Ka(HF)=10-3,25
equilibrioCa-x x x Ka=[F-]·[H3O+]/[HF] ; 10-3,25=(x · x)/(0,001 - x)=x²/10-3 x2=10-6,25-10-3,25·x
x2+10-3,25·x-10-6,25=0 x=[-10-3,25+√(10-3,25)2+4·10-6,85]/2= 5,2·10-4
α=(...
Rect tg f(x)=X³-4 | f(x)=f'(a)·(x-a)+f(a) | a=1 (x=1)
f'(x)=3x²-4 f'(1)=3·1²-4=-1 f(1)=1³-4=-3
f(x)=-1·(x-1)+(-3) f(x)=-x+1-3 f(x)=-x-2
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Calc A y B -x²+bx+1 si x≤1 lim -1 + b + 1= b
f(x) x→1-
...
Asíntot f(x)=(3x4+1)/x3 x≠0
lim=1/0-=-∞
A.Vertical x=0 x→0-
lim=1/0+=+∞
...
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