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Byju's Answer
Standard XII
Mathematics
Continuity of a Function
If f x = x +1...
Question
If
f
(
x
)
=
x
+
1
,
find
d
d
x
(
f
∘
f
)
(
x
)
.
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Solution
f
(
x
)
=
x
+
1
⇒
(
f
∘
f
)
(
x
)
=
(
x
+
1
)
+
1
=
x
+
2
Now, differentiating with respect to
x
,
we get
d
d
x
(
f
∘
f
)
(
x
)
=
d
d
x
(
x
+
2
)
=
1
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0
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