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Math 12 Chapter 2
Differentiation
Test - 9
1.
The fourth derivative of cos x is sin x.
a) False
b) True
2.
d/dx [log
a
x
] = lna/x
a) False
b) True
3.
The derivative of ln sin x w.r.t. x is tan x.
a) False
b) True
4.
The tenth derivative of e
q
w.r.t.
q
is e
q
.
a) True
b) False
5.
If x = sin t/2 , y = cos t/2 then dy/dx = tan t/2.
a) True
b) False
6.
If x = 2at and y = at
2
then dy/dx = x/2a.
a) True
b) False
7.
If xy = 3 then dy/dx = x/y.
a) True
b) False
8.
The derivative of tan x
2
is sec
2
x.
a) True
b) False
9.
d/d
q
(cos
-1
2
q
) = 1/
Ö
1-4
q
2
a) True
b) False
10.
For finding the derivatives of trigonometric functions f(x), x must be in degrees.
a) True
b) False
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