If x = t2 , y = t3 , then d2y / dx2 =
3/2
3/4t
3/2t
3t/2
15
-15
0
6
The differential coefficient of log tan x is
2sec 2x
2 cosec 2 x
2 sec3x
2 cosec3x
1
a+b+c
None of these
The derivative of an odd function is always
An odd function
An even function
Does not exist
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 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
If x = at2 , y = 2at,then dy/dx is equal to
2at
2a
t
1/t
If f(x) = ex g(x),g(0)=2,g ' (0)=1,then f ' (0) is equal to
3
2
