The derivative of an even function is always
An odd function
An even function
Does not exist
None of these
Given f (x) = 1/2x-1 , then for x = 0
f ' (x) vanishes
f ' (x) = f(x)
f ' (x) >0
f ' (x) <0
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
The differential coefficient of log tan x is
2sec 2x
2 cosec 2 x
2 sec3x
2 cosec3x
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
If x = at2 , y = 2at,then dy/dx is equal to
2at
2a
t
1/t
Let f and g be differentiable functions satisfying g ' (a) = 2 , g(a) = b and fog = I (identity function) .Then f ' (b) is equal to
1/2
2
2/3
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
0
5
10
25
