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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
{
x
2
,
x
<
2
,
k
x
−
4
,
x
≥
2.
f(x)=\begin{cases} x^{2}, & x<2,\\ kx-4, & x\ge 2. \end{cases}
f
(
x
)
=
{
x
2
,
k
x
−
4
,
x
<
2
,
x
≥
2.
For which value of
k
k
k
is
f
f
f
differentiable at
x
=
2
x=2
x
=
2
? a)
k
=
2
k=2
k
=
2
b)
k
=
8
k=8
k
=
8
c)
k
=
4
k=4
k
=
4
d)
k
=
3
k=3
k
=
3
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