If f(x) = ex g(x),g(0)=2,g ' (0)=1,then f ' (0) is equal to
1
3
2
0
Ler f(x) = exg(x) , g(0) = 4,g ' (0) = 2,then f ' (0) is
6
If y = sin-1 (cos x) ,then dy / dx is equal to
-1
sin x
sin2 x
None of these
If x = at2 , y = 2at,then dy/dx is equal to
2at
2a
t
1/t
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 derivative of an odd function is always
An odd function
An even function
Does not exist
Let f(x) = x - [x] , then f ' (x) = 1 for
all x R
all x R-{0}
all x R-Ι
all x I
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
15
-15
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
