The derivative of an even function is always
An odd function
An even function
Does not exist
None of these
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 differential coefficient of log tan x is
2sec 2x
2 cosec 2 x
2 sec3x
2 cosec3x
If x = at2 , y = 2at,then dy/dx is equal to
2at
2a
t
1/t
If y = sin-1 (cos x) ,then dy / dx is equal to
-1
sin x
sin2 x
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 odd function is always
0
5
10
25
Given f (x) = 1/2x-1 , then for x = 0
f ' (x) vanishes
f ' (x) = f(x)
f ' (x) >0
f ' (x) <0
If f(0) = 0 = g(0) and f ' (0) = 6 = g ' (0),then is given by
1
12
