Given f (x) = 1/2x-1 , then for x = 0
f ' (x) vanishes
f ' (x) = f(x)
f ' (x) >0
f ' (x) <0
32
16
10x9
64
If x=t2 , y=t3 , then d2y / dx2 =
3/2
3/4t
3/2t
3t/2
5 (2x+3)4
(2x+3)4
10 x
10 (2x+3)4
d/dx (x5)
5
x4
5x4
5 x
The gradient of the function x - 7x2 is
-7x2
1-7x
1-14 x
-14 x
The possible values of a if
1
-1
1,-1
0, -1
If f(x) = 3x2 -4x, the value of a if f '(a )= 5 is
3
4
If y=t2 + t -1 , then dy/dx is equal to
2t+1
t2+t-1
0
not defined
The gradient of y = x2 + 5x at (0,0) is
2
