Given f (x) = 1/2x-1 , then for x = 0
f ' (x) vanishes
f ' (x) = f(x)
f ' (x) >0
f ' (x) <0
x
1
y
None of these
If y=t2 + t -1 , then dy/dx is equal to _______ .
2t+1
t2+t-1
0
not defined
The function f(x) = is
Continuous at x=1
Discontinuous at 0
Discontinuous at x=0
Discontinuous everywhere
If f(x)=x+2 when x ≤ 1 and f(x)=4x-1 when x>1,then
f(x) is continuous at x=1
f(x) is discontinuous at x=0
If f(x) = √1-x2 ,xε(0,1),then f '(x) is equal to _________ .
1/√1-x2
-x/√1-x2
√1-x2
√x2-1
The derivative of an even function is always ________ .
An odd function
An even function
Does not exist
If f(x) = ex g(x),g(0)=2,g ' (0)=1,then f ' (0) is equal to _______ .
3
2
The derivative of an odd function is always __________ .
Given f(x) = 8x4 , then f ' (-1/2)is equal to _________ .
-4
1/2
-1/2
4
