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Math 12 Chapter 2
Differentiation
Test - 8
1.
When y = f(x), y is called the independent variable
a) True
b) False
2.
If lim
d
t
®
0
S (t +
d
t) - S(t) /
d
t exists, is called the instantaneous rate of change of distance with respect to "t".
a) True
b) False
3.
The notation f'(x) for derivative of y = f(x) was introduced by Newton.
a) True
b) False
4.
The derivative of y = sin
p
w.r.t. x is cos
p
.
a) True
b) False
5.
d / dx [1/g(x)] = -g'(x) / [g(x)]
2
is known as reciprocal law.
a) False
b) True
6.
d/dx (c.f(x)) = c. f '(x).
a) False
b) True
7.
The derivative of (
Ö
x+2) (
Ö
x-2) is 1.
a) False
b) True
8.
d/dx (1/x) = 1
a) True
b) False
9.
d/dx [(x+a)/(x-a)] = 1/(x-a)
2
a) False
b) True
10.
The equation of tangent line of the curve y = x
2
+ 1 at x = 1 is y = 2x.
a) False
b) True
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