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Byju's Answer
Standard X
Mathematics
Cubic Polynomial and Its Graphical Representation
Let fx be a c...
Question
Let fx be a cubic polynomial such that f2=18 and F1=-1 fx has local maxima at x equals to -1 and fx has local minimaat at x equals to 0 find distance between point (-1,2) and at a point of local minma
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Q.
f
(
x
)
is cubic polynomial with
f
(
2
)
=
18
and
f
(
1
)
=
−
1.
Also
f
(
x
)
has local maxima at
x
=
−
1
and
f
'
(
x
)
has local minima at
x
=
0
, then
Q.
f
(
x
)
is cubic polynomial with
f
(
2
)
=
18
and
f
(
1
)
=
−
1.
Also
f
(
x
)
has local maxima at
x
=
−
1
and
f
'
(
x
)
has local minima at
x
=
0
, then
Q.
Let
f
(
x
)
be a cubic polynomial with
f
(
1
)
=
−
10
,
f
(
−
1
)
=
6
,
and has a local minima at
x
=
1
, and
f
′
(
x
)
has a local minima at
x
=
−
1.
Then
f
(
3
)
is equal to
Q.
Let
f
(
x
)
be a polynomial of degree
3
such that
f
(
−
1
)
=
10
,
f
(
1
)
=
6
,
f
(
x
)
has a critical point at
x
=
−
1
and
f
′
(
x
)
has a critical point at
x
=
1
. Then
f
(
x
)
has a local minima at
x
equals to
Q.
f
(
x
)
is cubic polynomial which has local maximum at
x
=
−
1
. If
f
(
2
)
=
18
,
f
(
1
)
=
−
1
and
f
(
x
)
has local minima at
x
=
0
, then
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