Differentiability of Piecewise Function (Jee Ma… | ExamDuo
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Continuity and Differentiability
Medium
Differentiability of Piecewise Function
Let
k
and
m
be positive real numbers such that the function
f
(
x
)
=
{
3
x
2
+
k
√
x
+
1
0
<
x
<
1
m
x
2
+
k
2
x
≥
1
}
is differentiable for all
x
>
0
. Then
8
f
′
(
8
)
f
′
(
1
8
)
is equal to ________.
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