Page 110 - DECO403_MATHEMATICS_FOR_ECONOMISTS_PUNJABI

VED1
E L-LOVELY-H math6-1 IInd 21-10-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12

noEPk;soh dk rfDs

B'N dy
2 −
+
2
(1 xx +
= −+ + 2 x 3 ) (1 2x + 3 )
x
dx
dy
x = 0 T[Zs/ = − 1
dx
2
dy
3 −
+
2
= 2(1 xx + x 3 ) (1 2x + 3 )
++
2
x
dx 2
2 −
(1 xx + x 3 ) (2 6 )
+
2
−+ +
x
2
dy
x = 0 T[Zs/ = 0 T[Zso
dx 2

2
dy cos (a + y )
T[dkjoD 8H i/eo sin y = x cos (a + y), sK f;ZX eo' fe = ns/ x = 0 T[Zs/
dx cos a
dy
= cos a
dx
jZb L sin y = x cos (a + y)
sin y
⇒ x =
cos(a + ) y
x d/ ;kg/y fBy/VB eoB s/

⇒

d[pkok id'A x = 0
T[d'A sin y = 0 ⇒ y = nπ
x = 0 T[Zs/

⇒

–1
2
–1
2
T[dkjoD 9H i/eo y = (sin x) + (cos x) , sK f;ZX eo' fe
2
d y dy
(1 − x 2 − x ) = 4.
dx 2 dx

104 LOVELY PROFESSIONAL UNIVERSITY