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Byju's Answer
Standard XII
Mathematics
Implicit Differentiation
Let fx=1ax+...
Question
Let
f
(
x
)
=
1
a
x
+
b
then
f
′′
(
0
)
=
A
2
a
3
b
2
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B
2
a
2
b
3
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C
2
a
3
b
3
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D
none of these
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Solution
The correct option is
A
2
a
2
b
3
Given,
f
(
x
)
=
1
a
x
+
b
Now differentiating both sides with respect to
x
we get,
f
′
(
x
)
=
−
a
(
a
x
+
b
)
2
Again differentiating both sides with respect to
x
we get,
f
′′
(
x
)
=
2
a
2
(
a
x
+
b
)
3
So
f
′′
(
0
)
=
2
a
2
b
3
.
Suggest Corrections
0
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