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Math 12 Chapter 2
Differentiation
Test - 2
1.
The maximum value of 2 cos x on the interval [-
p
,
p
]. is __________________
a) 4
b) 3
c) 5
d) 2
2.
f (x) = x
3
+ 2x - 4 is a non_______________. function on [-1, 4].
a) Increasing
b) Decreasing
c) Independent
3.
y = sin x is a non ________________ function on [0,
p
/2].
a) Dependent
b) Increasing
c) Decreasing
4.
The second derivative of y = - cos (x/2) is __________________
a) 1/4 cos x/2
b) 1/4 cos x/3
c) 1/2 cos x/2
5.
f (x) = f (0) + xf' (0) + x
2
/ 2! f'' (0) + x
3
/ 3! f''' (0) +- - - - - - - is known as__________________
a) Maclaurin�s series
b) Maclaurin�s Parallal
c) Taylor series
6.
[f is decreasing on ] a,b [ ,if f'(x) is _______________ for each x
e
] a,b.
a) Less than one
b) More than zero
c) Less than zero
7.
f(x) = 1/x
2
is a non_______________ function on [1, 10].
a) Independent
b) Increasing
c) Decreasing
8.
If f''(c) > 0 then f has a________________at c.
a) Turning point
b) Relative Minima
c) Decreasing
9.
e
x+h
= e
x
{1 + h + h
2
/ 2! + h
3
/ 3! +- - - - - - - }is called ________________ series expansion of e
x
.
a) Taylor series
b) Maclaurin�s Parallal
c) Independent
10.
A stationary point is also called a ___________________ if it is either a maximum or a minimum point.
a) Relative Minima
b) Less than zero
c) Turning point
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