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Question 24 - Week 8 Practice | Prasnya
Q24
00:00
6 Aug 2023
Q24.
Which of the following options is/are true?
@passage
A
The function
g
(
x
)
g(x)
g
(
x
)
is not differentiable in its domain.
B
The function
g
(
x
)
g(x)
g
(
x
)
is continuous in its domain.
C
If
g
(
x
)
g(x)
g
(
x
)
is differentiable in its domain, then
g
′
(
x
)
=
2
cos
2
x
+
2
x
−
6
x
2
−
6
x
+
8
+
3
e
3
x
g'(x)=2\cos 2x+\frac{2x-6}{x^2-6x+8}+3e^{3x}
g
′
(
x
)
=
2
cos
2
x
+
x
2
−
6
x
+
8
2
x
−
6
+
3
e
3
x
.
D
If
g
(
x
)
g(x)
g
(
x
)
is differentiable in its domain, then
g
′
(
x
)
=
2
cos
2
x
+
1
x
2
−
6
x
+
8
+
3
e
3
x
g'(x)=2\cos 2x+\frac{1}{x^2-6x+8}+3e^{3x}
g
′
(
x
)
=
2
cos
2
x
+
x
2
−
6
x
+
8
1
+
3
e
3
x
.
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Read
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Details
Q24
00:00
6 Aug 2023
Q24.
Which of the following options is/are true?
@passage
A
The function
g
(
x
)
g(x)
g
(
x
)
is not differentiable in its domain.
B
The function
g
(
x
)
g(x)
g
(
x
)
is continuous in its domain.
C
If
g
(
x
)
g(x)
g
(
x
)
is differentiable in its domain, then
g
′
(
x
)
=
2
cos
2
x
+
2
x
−
6
x
2
−
6
x
+
8
+
3
e
3
x
g'(x)=2\cos 2x+\frac{2x-6}{x^2-6x+8}+3e^{3x}
g
′
(
x
)
=
2
cos
2
x
+
x
2
−
6
x
+
8
2
x
−
6
+
3
e
3
x
.
D
If
g
(
x
)
g(x)
g
(
x
)
is differentiable in its domain, then
g
′
(
x
)
=
2
cos
2
x
+
1
x
2
−
6
x
+
8
+
3
e
3
x
g'(x)=2\cos 2x+\frac{1}{x^2-6x+8}+3e^{3x}
g
′
(
x
)
=
2
cos
2
x
+
x
2
−
6
x
+
8
1
+
3
e
3
x
.
Save
Read
Check
Details
