Assignment No. 3 MTH 101 (Fall 2010)

[Xpert]

well final main acha score karo you will pas.

[sweethira]

m asking solution for 1st Question still no reply !!!!!!!!!!!

[Xpert]

I don't know about this assignment. That's why i can't help dear. I am sorry.

[sweethira]

ok ok m posting


Prove that



4x d/dx √(x+√x) + √(x+√x) d/dx (dx)
4x(1/2 (x+√x)-1/2 d/dx (x+√x) + √(x+√x) (4)

4x (1 + 1/2√x) + 4√(x+√x)
2√(x+√x)

2x + √x) + 4(x +√x)
.√(x+√x)

2x + √x) + 4x +4√x)
.√(x+√x)

6x+5√x)
.√(x+√x)

[sweethira]

2nd. y=(1+x2) etan-1x

dy/dx = (1+x2) d/dx (etan-1x) + (etan-1x) d/dx (1+x2)

dy/dx = (1+x2) etan-1x d/dx (tan-1x) +etan-1x(2x)

=etan-1x (1+x2).1/(1+x2) +2x(etan-1x)

etan-1x +2x(etan-1x)
etan-1x (1+2x)

[sweethira]

3rd.

here g(x) = x3 and f(x) =4cos(x)
Y = f(gx) = 4cos(x3)
Let u = x3
Y = 4cos(u)
By chain rule
Dy/dx = dy/du.du/dx = d/du (4cos(u) .d/du (x3)

=(-4sin(u) (3x2)
(-4sin(x3) (3x2)
-12x2sin(x3)

[Xpert]

Thanks for sharing this answer.

[basirmukhtar]

not funny.

[sweethira]

basir who is laughing here ?

[Xpert]

no one is laughing he is just making fun here.