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Application Of Derivatives

TS EAMCET 2020 (Online) 10th September Evening Shift

MCQ+1 / -02020

\(\text { Match the functions of List I with the items of List II. }\)








































List IList II
A.
3

x
4

−
2

x
3

−
6

x
2

+
6
x
+
1

3

x
4

−
2

x
3

−
6

x
2

+
6
x
+
1
3x^(4)-2x^(3)-6x^(2)+6x+1		(I)has minimum value at
x
=
4

x
=
4
x=4
B.
x
+

1
x

,
∀
x
<
0

x
+

1
x

,
∀
x
<
0
x+(1)/(x),AA x < 0		(II)has maximum value at
x
=
−
1

x
=
−
1
x=-1
C.

x
4

(
7
−
x

)
3



x
4

(
7
−
x

)
3

x^(4)(7-x)^(3)		(III)has maximum value at
x
=
4

x
=
4
x=4
D.

x
4

+
(
8
−
x

)
4



x
4

+
(
8
−
x

)
4

x^(4)+(8-x)^(4)		(IV)is decreasing in
[
2
,
∞
)

[
2
,
∞
)
[2,oo)
(V)is increasing in
[
2
,
∞
)

[
2
,
∞
)
[2,oo)

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