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Math 12 Chapter 2
Differentiation
Test - 4
1.
A function f(x) has a minimum value at x = a if:
a) f ''(a) # 0 , f' (a) = 0
b) f ''(a) = 0 , f ' (a) = 0
c) f ''(a) @ 0 , f ' (a) = 0
d) f ''(a) = 0 , f ' (a) = 0
2.
If y = f(x) then dy/dx is:
a) Slope of x-axis
b) Slope of y-axis
c) Slope of normal line
d) Slope of tangent line
3.
The derivative of cos (ax/c) is:
a) -1/c sin (ax/c)
b) -a/c sin (ax/c)
c) 1/c sin (ax /c)
d) a/c sin (ax/c)
4.
d/dx [sin
p
/2 / sec x] = :
a) Cos x
b) Sin x
c) -Cos x
d) -Sin x
5.
If f ' (x) = 0 at x = c then f(c) is:
a) minimum at x = C
b) Insufficient in formation
c) Stationary point
d) Maximum at x = C
6.
d/dx [Sin x Cos x] is:
a) Sin2 x/2
b) Cos
2
x
c) Sin
2
x
d) Cos2 x
7.
The derivative of x
2
+ y
2
= 9 is:
a) y/x
b) 2x + 2y = 0
c) -x/y
d) y
2
/x
2
8.
If x = a cos
2
q
, y = b sin
2
q
then dy/dx is:
a) -b/a
b) b/a
c) b cos
q
/ a sin
q
d) a/b
9.
The derivative of Sin x
0
w.r.t. to x:
a)
p
/180 Cos x
0
b) Cos x
0
c) x
0
Cos x
0
d)
p
/180 Sin x
0
10.
If y = x
7
+ x
6
+ x
5
then D
8
(y) =:
a) 7! x
b) 0
c) 7! + 6!
d) 7!
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