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Math 12 Chapter 2
Differentiation
Test - 5
1.
d/dx [cos C. Sin 45
o
] =:
a) Cos C. Cos 45
o
b) Sin C. Sin 45
o
c) -Sin C. Sin 45
o
d) 0
2.
d/dx [x
x2
] is:
a) x
x2
[1+lnx]
b) x
x2-1
[1+lnx]
c) x
x2+1
[1+2lnx]
d) x
x2+1
[1+lnx]
3.
d/dx (a
b+c
):
a) (b+c) a
b+c
Ina
b) ba
b+c
c) (b+c) a
b+c-1
d) 0
4.
y = Cos (bx + c) then d
4
/dx
4
Cos (bx+c):
a) Cos (bx + c)
b) b
4
Sin (bx + c)
c) Sin (bx + c)
d) b
4
Cos (bx + c)
5.
If y
3
= x
2
then dy/dx is:
a) (3/2) (x/y)
b) (2/3) (x
2
/y
2
)
c) (2/3) (x/y
2
)
d) (3/2) (y
2
/x
2
)
6.
d
4
/dx
4
(x
8
+ 12) is:
a) (8! / 4!) x
4
b) 8x
7
c) 8.7.6x
5
d) 8.7.6.5.4.x
3
7.
d/dx [Cos ax + Cos bx + Cos cx]:
a) (a+b+c) Sin x
b) -(a Sin ax + b Sin bx + c Sin cx)
c) a Sin ax + b Sin bx + c Sin cx
d) -(a+b+c) Sin x
8.
d/dx (cos
-1
Ö
x) =:
a) -1 /
Ö
2x(1-x)
b) 1 /
Ö
x(1-x)
c) 1 /
Ö
2x
d) 1 /
Ö
2(1-x)
9.
d/dx [Sin h
-1
(ax + b)]:
a) a /
Ö
1+(ax+b)
b) a+b /
Ö
1-(ax+b)
2
c) a /
Ö
1+(ax+b)
2
d) 1 /
Ö
1-(ax+b)
2
10.
d/dx (ln f(x)) =:
a) f(x) / f ' (x)
b) f '(x) / f(x)
c) -f '(x) / f(x)
d) - f(x) / f '(x)
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