2.(i)
1(^0) y
1
3
z
x
(ii)
x
z
− 3 − 1 0 y
1
3
3
- (i) 2x,2y (ii)
1
y,−x
y^2(iii) 3x^2 + 2 xy, x^2 + 4 y^3 (iv) −x
(x^2 +y^2 )^3 /^2,−y
(x^2 +y^2 )^3 /^2(v) yexycos( 3 y^2 ),exy(xcos( 3 y^2 )− 6 ysin( 3 y^2 )) (vi)y
1 +xy,x
1 +xy(vii) e−xy(y− 3 xy^2 ),e−xy(x− 3 x^2 y) (viii)2 x
√
1 +y,3 y^2 + 4 y−x^2
2 ( 1 +y)^3 /^2(ix) 3x^2 tan−^1(
x
y)
+yx^3
x^2 +y^2,−x^4
x^2 +y^2- (i) 0, 6 (ii) Does not exist,−
1
4(iii) 0, 33(iv) Does not exist,−2
5√
5(v) 0,e^2 (cos( 12 )−12 sin( 12 ))