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
not defined
a+b/2
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 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
None of these
The differential coefficient of log tan x is ________
2sec 2x
2 cosec 2 x
2 sec3x
2 cosec3x
If f(0) =0=g(0) and f ' (0)=6=g ' (0),then is given by ________ ?
1
0
12
-1
-1 < x < 1
-1 ≤x
-1 ≤ x ≤ 1
-1 < x ≤ 1
Ler f(x) =exg(x),g(0) = 4,g ' (0)=2,then f ' (0) is ________ .
3
2
6
If y=log (Sec x + tan x ) ,then dy/dx=______ .
tan x
sec x
tan2 x
If f(x) = ex g(x),g(0)=2,g ' (0)=1,then f ' (0) is equal to _______ .
The function f(x) = is
Continuous at x=1
Discontinuous at 0
Discontinuous at x=0
Discontinuous everywhere
