Question 16 - Week 8 Practice | Prasnya
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Week 8
Question 16
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Est. 3 min
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Choose the set of correct options.
Multiple correct
Easy Difficulty
24 March 2024
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)
is differentiable at the point
a
a
, then
c
f
(
x
)
cf(x)
is differentiable at the point
a
a
, for all
c
∈
R
c\in\mathbb{R}
, and
(
c
f
)
′
(
a
)
=
c
f
′
(
a
)
(cf)'(a)=cf'(a)
.
D
If
f
(
x
)
f(x)
and
g
(
x
)
g(x)
are differentiable functions, then
∣
(
f
+
g
)
(
x
)
∣
|(f+g)(x)|
is also a differentiable function.
