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Byju's Answer
Standard XIII
Mathematics
Chain Rule of Differentiation
If fx=x2+6x+9...
Question
If
f
(
x
)
=
√
x
2
+
6
x
+
9
, then f '(x) is equal to
A
1
f
o
r
x
>
−
3
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B
−
1
f
o
r
x
<
−
3
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C
1
f
o
r
a
l
l
x
∈
R
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D
0
f
o
r
x
=
−
3
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Solution
The correct option is
B
−
1
f
o
r
x
<
−
3
f
(
x
)
=
√
x
2
+
6
x
+
9
=
(
x
+
3
|
Function
is
not
differentiable
at
x
=
−
3
.
f
(
x
)
=
(
−
(
x
+
3
)
,
if
x
<
−
3
(
x
+
3
)
,
if
x
>
−
3
⇒
f
'
(
x
)
=
(
−
1
,
if
x
<
−
3
1
,
if
x
>
−
3
Suggest Corrections
0
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