1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Right Hand Derivative
Let F:R → R b...
Question
Let
F
:
R
→
R
be a differentiable function such that
F
(
x
)
=
∫
f
(
x
)
4
16
t
3
x
−
3
d
t
,
f
(
3
)
=
4
&
f
′
(
3
)
=
1
16
then the value of
lim
x
→
3
F
(
x
)
is
Open in App
Solution
F
(
x
)
=
∫
f
(
x
)
4
16
t
3
x
−
3
d
t
lim
x
→
3
F
(
x
)
=
lim
x
→
3
f
(
x
)
∫
4
16
t
3
x
−
3
d
t
=
lim
x
→
3
16
(
f
(
x
)
)
3
f
′
(
x
)
1
(
0
0
,
L-Hospital
)
=
16
×
4
3
1
×
1
16
=
64
Suggest Corrections
0
Similar questions
Q.
Let
F
:
R
→
R
be a differentiable function such that
F
(
x
)
=
∫
f
(
x
)
4
16
t
3
x
−
3
d
t
,
f
(
3
)
=
4
&
f
′
(
3
)
=
1
16
then the value of
lim
x
→
3
F
(
x
)
is
Q.
Let
f
:
R
→
[
3
,
5
]
be a differentiable function such that
lim
x
→
∞
(
f
(
x
)
+
f
′
(
x
)
)
=
3
then
lim
x
→
∞
f
(
x
)
Q.
Let
f
:
R
→
R
be a differentiable function satisfying
f
′
(
3
)
+
f
′
(
2
)
=
0
. Then
lim
x
→
0
(
1
+
f
(
3
+
x
)
−
f
(
3
)
1
+
f
(
2
−
x
)
−
f
(
2
)
)
1
/
x
is equal to :
Q.
Let
f
(
x
)
=
1
√
18
−
x
2
, then the value of
lim
x
→
3
f
(
x
)
−
f
(
3
)
x
−
3
is
Q.
Let
f
:
R
→
R
be a differentiable function and
f
(
1
)
=
4.
Then the value of
lim
x
→
1
∫
f
(
x
)
4
2
t
x
−
1
d
t
is
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Right Hand Derivative
MATHEMATICS
Watch in App
Explore more
Right Hand Derivative
Standard XII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app