0
5
10
25
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)
If f(x) = ex g(x),g(0)=2,g ' (0)=1,then f ' (0) is equal to
1
3
2
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
Let f(x) = ax2 +1 for x >1 = x+a for x ≤1,thenf is derivable at x=1 if
a = 0
a = 1/2
a = 1
a = 2
2/1+x2
2x/1+x2
-2/1+x2
None of these
Let f(x) = x - [x] , then f ' (x) = 1 for
all x R
all x R-{0}
all x R-Ι
all x I
The solution of differential equation dy/dx + y/x = x2 is.
4xy = x4 + c
xy = x4 + c
4xy + x4 - c
The derivative of an odd function is always
An odd function
An even function
Does not exist
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