NAME: (Block Capitals)Ql. If f(x) =x e3x find (i) df/dx(ii) d2f/cv2ANS (i)ANS (ii)Q2. If f(x) =...

Question

NAME: (Block Capitals)Ql. If f(x) =x e3x find (i) df/dx(ii) d2f/cv2ANS (i)ANS (ii)Q2. If f(x) = sin2xsin2x find df at x = rc/4 dxANSQ3. If V = 6 x3 y7 find2v (ii) a, ax-a-v (iii) ax ayANS. (i)ANS (ii)ANS (iii)Q4. Find the total differential of z = x5 y6ANSQ5. Find the MacLaurin series of (/ +x)-5 to the term in x4ANSQ6. if V = (cos x)ln(xy) findav av x--y—ax ay(u) x2 a2v 2 a2v 2 Y ax ayANS (i)ANS (ii)

David · Accepted Answer

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,

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....

Solution

Answer To This Question Is Available To Download

Related Questions & Answers

Submit New Assignment