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Math 12 Chapter 2
Differentiation
Test - 7
1.
d/dx (x)
2/3
at x = 8
a) 1/5
b) 1/4
c) 2/3
d) 1/3
2.
y = sin x on [0,
p
/2]
a) Increasing
b) Decreasing
c) Independent
3.
d/dx (1+x)
-1
at x = 1
a) - 1/2
b) - 1/4
c) 1/4
4.
Third derivative of x
3
/12 - x
2
/6 + x/2 + 7
a) 1 / 3
b) 1 / 2
c) 1 / 4
5.
d/dx (sin (cos x)) at x =
p
/2
a) 1
b) -2
c) -1
6.
d/dx (c)
a) Zero
b) One
c) Two
7.
y = 1/x3 on [-5, -3]
a) Independent
b) Differentiable
c) Decreasing
d) Increasing
8.
Slope of the tangent line of y = x
2
+ 1 at x = 1
a) 5
b) 2
c) 4
d) 3
9.
Maxima of y = 4 cos x on [-
p
,
p
]
a) 4
b) 4
c) 8
d) 5
10.
Third derivative of x
3
- 5
a) 5
b) 8
c) 6
d) 6
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