it f(x) does not exist x→ 0+1
Lt f(x) doesnot exist x→0-
Lt x→0f(x) does not exist
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
None of these
If y=t2 + t -1 , then dy/dx is equal to _______ .
2t+1
t2+t-1
0
not defined
If x=at2 , y=2at,then dy/dx is equal to ________ .
2at
2a
t
1/t
The function is not defined at x=0 .The value which should be assigned to f at x=0 so that it is discontinuous at x=0 is
a-b
a+b
log a + log b
Ler f(x) =exg(x),g(0) = 4,g ' (0)=2,then f ' (0) is ________ .
1
3
2
6
If x=at2 , y=2at ,then d2y / dx2 = ________ .
-1/t2
1/2at3
-1/t3
-1/2at3
Let the function f be defined by f(x) =x sin 1/x , when x≠0
=0 , when x=0then at x=0,f is _____ .
continuous
not continuous
a+b/2
If f(x) = √1-x2 ,xε(0,1),then f '(x) is equal to _________ .
1/√1-x2
-x/√1-x2
√1-x2
√x2-1
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)
