Prasnya
Prasnya
Prasnya
Continue with Google
Question 16 - Week 8 Practice | Prasnya
Q16
00:00
24 Mar 2024
Q16.
Choose the set of correct options.
A
If a function is continuous at a particular point, then the function is differentiable at that point.
B
If a function is differentiable at a particular point, then the function must be continuous at that point.
C
If
f
(
x
)
f(x)
f
(
x
)
is differentiable at the point
a
a
a
, then
c
f
(
x
)
cf(x)
c
f
(
x
)
is differentiable at the point
a
a
a
, for all
c
∈
R
c\in\mathbb{R}
c
∈
R
, and
(
c
f
)
′
(
a
)
=
c
f
′
(
a
)
(cf)'(a)=cf'(a)
(
c
f
)
′
(
a
)
=
c
f
′
(
a
)
.
D
If
f
(
x
)
f(x)
f
(
x
)
and
g
(
x
)
g(x)
g
(
x
)
are differentiable functions, then
∣
(
f
+
g
)
(
x
)
∣
|(f+g)(x)|
∣
(
f
+
g
)
(
x
)
∣
is also a differentiable function.
Save
Check
Details
Q16
00:00
24 Mar 2024
Q16.
Choose the set of correct options.
A
If a function is continuous at a particular point, then the function is differentiable at that point.
B
If a function is differentiable at a particular point, then the function must be continuous at that point.
C
If
f
(
x
)
f(x)
f
(
x
)
is differentiable at the point
a
a
a
, then
c
f
(
x
)
cf(x)
c
f
(
x
)
is differentiable at the point
a
a
a
, for all
c
∈
R
c\in\mathbb{R}
c
∈
R
, and
(
c
f
)
′
(
a
)
=
c
f
′
(
a
)
(cf)'(a)=cf'(a)
(
c
f
)
′
(
a
)
=
c
f
′
(
a
)
.
D
If
f
(
x
)
f(x)
f
(
x
)
and
g
(
x
)
g(x)
g
(
x
)
are differentiable functions, then
∣
(
f
+
g
)
(
x
)
∣
|(f+g)(x)|
∣
(
f
+
g
)
(
x
)
∣
is also a differentiable function.
Save
Check
Details
