Lista Cálculo II

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Cálculo II (lista dos slides do prof. Álax) 
Achar fx(x,y) e fy(x,y) 
1– f(x,y)=2x2-3y-4 
2- f(x,y)=x2-xy +y2-1 
3- f(x,y)=(x2-2)(y3-4) 
4- f(x,y)= 5xy-7x2 +8y2-7x-9y+3 
5- f(x,y)= (senx-cosy)(xey-3xy) 
6- f(x,y)= xlny 
7- f(x,y)= x5y2arctagx 
 
 
 
 
 
 
 
13– f(x,y)= (xy-1)2 
14- f(x,y)= (2x-3y)3 
15- f(x,y)= 4sen(xy) 
16- f(x,y)= 8cos(5y2-7x-9y) 
17- f(x,y)= 7exy 
18- f(x,y)= ln(x2+4y3+1) 
19- f(x,y)= sec(1+xy) 
20- f(x,y)= (seny–cos x)3 
21- f(x,y)= -ex+y+2 
 
 
 
 
 
26– f(x,y)= e-xsen(x+y) 
27- f(x,y)= e-xycos(x-y) 
28- f(x,y)= exylny 
29- f(x,y)= cos2(5y2-7x-9y) 
30- f(x,y)= 5xy3exy+2x+y 
31- f(x,y)= ln(sen(4x2+2y3+1)) 
32- f(x,y)= sen3(x2+xy+y3) 
33- f(x,y)= sen(x2+xy+y3)3 
34- f(x,y)= sen3(x2+xy+y3)4 
35– f(x,y)= esenxsec(xy) 
36- f(x,y)= cos(sen(2x-3y)) 
37- f(x,y)= exylny 
38- f(x,y)= tag3(-x-3y) 
39- f(x,y)= arccotag(1+xy+5xy3) 
40- f(x,y)= ln(exy) 
41- f(x,y)= arctag(x-y) 
42- f(x,y)= 53x+2y 
43- f(x,y)= tag2(senx+cosy)5 
 
 
 
 
 
 
 
50– f(x,y)= arcsen(xy) 
51- f(x,y)= arccos(2x-3y)) 
52- f(x,y)= arcsec(x2y) 
53- f(x,y)= esenxcosy 
54- f(x,y)= (1+senxy+cosxy)3 
55- f(x,y)= exlny 
56- f(x,y)= arccotag(x2y3) 
57- f(x,y)= sen(cos(tag(5xy))) 
58- f(x,y)= tag2(sen3(x+cosy)5)
 
3 52 )1xyx2(y)f(x, 25 
53
3-2
y2x
xy4y5x
y)f(x, 8





y-x
yx
y)f(x, 9

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2xyx
1x
y)f(x, 10
2



22 yx
x
y)f(x, 11


2123 yyx2x
4
y)f(x, 12
 

3
1
32 )y(xy)f(x, 22 
1-2 y2xy)f(x, 23 
4
3
3
2
2
y
xy)f(x, 24 








3 52 )1xyx2(y)f(x, 25 







y
x
arctagy)f(x, 44







x
y
tagy)f(x, 45
32yxey)f(x, 46 
xyxyy)f(x, 47 
)xy(sen-2xyy)f(x, 48 3
)yx(ey)f(x, 49 22x
2
