–4
–2
–1
0
2
sec x csc x
sec x – csc x
sec x + csc x
sec2x – csc2x
sec2x csc2x
If h is the function given by h(x) = f(g(x)), where f(x) = 3x3 – 1 and g(x) = |x|, then h’(0) =
3
-2
– 1
-3
Non existent
0
f is an odd function.
f is continuous at x = 0.
f is an even function.
f’(0) = 0
f’(x) > 0 for x ( 0
22x–1
(22x+1)x
(22x+4)ln 2
(22x–1)ln 2
nonexistent
5x4
6x5
I only
II only
I and II only
I and III only
I, II and III
1
e
1/e
Does not exist
0
1/3
1/11
-1/3
2
2/3
None of the above
1
2
4
5
0
-1
2
-3
-2
0
At positive integers only
At all positive and negative integers and in (0, 1)
At all rational numbers
At negative integers only
At all real numbers
0
½
2
8
Does not exist