NAME: (Block Capitals) Ql. If f(x) =x e3x find (i) df/dx (ii) d2f/cv2 ANS (i) ANS (ii) Q2. If f(x) = sin2xsin2x find df at x = rc/4 dx ANS Q3. If V = 6 x3 y7 find 2v (ii) a, ax- a-v (iii) ax ay ANS....

1) F(x) =xe
3x



d(uv) = v*du+ u*dv
= +


=a
= (3x+1)



= (3x+1)

+



= 3*(3x+1) + 3
= (9x+6)
2) f(x) =
using chain rule,



(

)
, and Since (


)
= (2x (2* )
Now put x=


, you will get

(cos(



= 0)
3) v= 6 x3y7


Because when you partially derivate with x, y will become a constant
= 6y7*3x2
= 18 x2 y7



=

(


) = 18 y7

= 18y7*2x = 36xy7

(


) =

because now you are differentiating with y,
x will become a constant


...