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Math 12 Chapter 2
Differentiation
Test - 6
1.
Cos h
-1
x can also be written as:
a) ln (x+
Ö
x
2
+1)
b) 1 /
Ö
1+x
2
c) 1 /
Ö
1-x
2
d) ln (x+
Ö
x
2
-1)
2.
d/dx (Sin x)
-1
:
a) 1 /
Ö
1-x
2
b) - Cosec x cot x
c) Cosec x cot x
d) -(Sin x)
-2
3.
1-t
2
/2!+t
4
/4!-t
6
/6!+__________________________ is an expansion of:
a) e
t
b) Cos t
c) Cos
-1
t
d) Sin t
4.
1+x+x
2
/2!+x
3
/3!+________________________is an expansion of:
a) Sin x
b) e
x
c) Tan x
d) e
2x
5.
Value of d
2
/dx
2
(-Cos x) at x =
p
/4 is:
a) 1 /
Ö
2
b) -1/2
c) 1/2
d) -1/
Ö
2
6.
Two numbers such that their difference is 50 and product is minimum are:
a) 25, -25
b) 0, -50
c) 50, 0
d) 25, 25
7.
The minima of the function y = x
2
-x on [0,1] is:
a) 1/2
b) 1/4
c) -1/4
d) -1/2
8.
The equation of tangent line to the curve x
2
+ y
2
= c
2
at (a,b):
a) bx + ay = C
b) ax + by = C
c) ax + by = C
2
d) x/a = y/b
9.
d/dx (3
3x+7
) =:
a) 3
3x+8
(ln3)
b) 3
3x+8
/ln 3
c) 3
3x+7
(ln 3)
d) 3
3x+7
/ ln 3
10.
1 - x + x
2
/ 2! - x
3
/ 3! + x
4
/ 4!+ - - - - - - - - - - is an expansion of:
a) e
x
b) Sin x
c) Cos x
d) e
-x
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