Given f(x) = 8x4 , then f ' (-1/2)is equal to _________ .
-4
1/2
-1/2
4
is continuous at x=a
is not continuous at x=a
has a limit when x→a and it is equal to lm
has a limit when x→a but it is not equal to lm
If f(x) = ex g(x),g(0)=2,g ' (0)=1,then f ' (0) is equal to _______ .
1
3
2
0
-1 < x < 1
-1 ≤x
-1 ≤ x ≤ 1
-1 < x ≤ 1
a+b+c
None of these
If f(x) = x tan-1 x , then f'(1) equals ________ .
1/2 + π/4
-1/2 + π/4
-1/2 -π/4
1/2 - π/4
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)
If y = sin-1 (cos x) ,then dy / dx is equal to _______ .
-1
sin x
sin2 x
If f(x) = √1-x2 ,xε(0,1),then f '(x) is equal to _________ .
1/√1-x2
-x/√1-x2
√1-x2
√x2-1
If y=log (Sec x + tan x ) ,then dy/dx=______ .
tan x
sec x
tan2 x
