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 derivative of an odd function is always
An odd function
An even function
Does not exist
None of these
If y = sin-1 (cos x) ,then dy / dx is equal to
-1
sin x
sin2 x
0
5
10
25
Ler f(x) = exg(x) , g(0) = 4,g ' (0) = 2,then f ' (0) is
1
3
2
6
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
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 x = t2 , y = t3 , then d2y / dx2 =
3/2
3/4t
3/2t
3t/2
If f(x) = ex g(x),g(0)=2,g ' (0)=1,then f ' (0) is equal to
The derivative of an even function is always
