1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Determinant
lf Fx=|[ x...
Question
lf
F
(
x
)
=
∣
∣ ∣ ∣
∣
x
x
2
x
3
1
2
x
3
x
2
0
2
6
x
∣
∣ ∣ ∣
∣
, then
F
′
(
x
)
is equal to
A
6
x
3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
x
3
+
6
x
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
3
x
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
6
x
2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution
The correct option is
D
6
x
2
F
(
x
)
=
∣
∣ ∣ ∣
∣
x
x
2
x
3
1
2
x
3
x
2
0
2
6
x
∣
∣ ∣ ∣
∣
=
2
x
3
F
′
(
x
)
=
6
x
2
Suggest Corrections
0
Similar questions
Q.
Let
f
(
x
)
=
cot
−
1
(
1
−
x
2
2
x
)
+
cot
−
1
(
1
−
3
x
2
3
x
−
x
3
)
−
cot
−
1
(
1
−
6
x
2
+
x
4
4
x
−
4
x
3
)
, the
F
′
(
x
)
equals
Q.
If
f
(
x
)
=
x
3
−
6
x
2
+
9
x
+
3
then
f
(
2
)
is equal to
Q.
If
f
(
x
)
=
{
x
3
−
3
x
+
2
x
<
2
x
3
−
6
x
2
+
9
x
+
2
,
x
≥
2
then
Q.
f(x) = x
3
− 6x
2
+ 11x − 6, g(x) = x
2
− 3x + 2