If x = t2 , y = t3 , then d2y / dx2 =
3/2
3/4t
3/2t
3t/2
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
0
12
-1
If f(x) = ex g(x),g(0)=2,g ' (0)=1,then f ' (0) is equal to
3
2
5
10
25
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
a+b+c
None of these
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 = at2 , y = 2at,then dy/dx is equal to
2at
2a
t
1/t
15
-15
6
