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Byju's Answer
Standard XII
Mathematics
First Principle of Differentiation
If f x =4-6- ...
Question
If
f
(
x
)
=
4
−
(
6
−
x
)
2
/
3
,
i
n
[
5
,
7
]
,
on f(x)
A
Lagrange’s theorem is applicable
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B
Rolle’s theorem is applicable
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C
Lagrange’s and Rolle’s theorem are applicable
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D
Lagrange’s and Rolle’s theorem are not applicable
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Solution
The correct option is
D
Lagrange’s and Rolle’s theorem are not applicable
It is not differentiable at x = 6
Suggest Corrections
3
Similar questions
Q.
Assertion :If Rolle's theorem be applied in
f
(
x
)
, then L.M.V. theorem is also applicable for
f
(
x
)
. Reason: Both Rolle's theorem & L.M.V. theorem can not be applied in
f
(
x
)
=
|
sin
|
x
|
|
in
[
−
π
3
,
π
3
]
Q.
f
(
x
)
=
x
2
in
2
≤
x
≤
3
Is Rolle's theorem applicable?
Q.
In
[
0
,
2
]
, Lagrange's mean value theorem is not applicable to
Q.
f
(
x
)
=
e
x
(
sin
x
−
cos
x
)
in
(
π
4
,
5
π
4
)
.
Is Rolle's theorem applicable?
Q.
In [0, 1] Lagrange's Mean Value theorem is NOT applicable to
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