If x + |y| = 2y , then y as a function of x is
not defined for all real x
continuous at x = 0
not differentiable for all x
Such that dy/dx = 1/3 for y
The solution of differential equation. dy/dx + 2y cot x = 3x2 cosec2 x is
y sin 2 x = x3 + c
y sin x = x2 + c
y cos x = x3 + c
The derivative of an odd function is always
An odd function
An even function
Does not exist
None of these
15
-15
0
6
If x = t2 , y = t3 , then d2y / dx2 =
3/2
3/4t
3/2t
3t/2
f is continuous every where
f is continuous at x = a
f has a limit 1 at x = a
Limit of f does not exist at x = a
The derivative of an even function is always
If y = sin-1 (cos x) ,then dy / dx is equal to
-1
sin x
sin2 x
Given f (x) = 4x8 , then
f(1/2)=f ' (-1/2)
f(-1/2) = f(1/2)
f ' (x) = f ' (-1/2)
f ' (1/2) = f ' (-1/2)
Ler f(x) = exg(x) , g(0) = 4,g ' (0) = 2,then f ' (0) is
1
3
2
