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Mathematics
Problem
Determine the value of
k
k
k
such that the function
f
(
x
)
=
{
k
x
+
1
,
x
<
2
,
x
2
−
3
,
x
≥
2
f(x)= \begin{cases} kx+1, & x<2,\\ x^{2}-3, & x\ge 2 \end{cases}
f
(
x
)
=
{
k
x
+
1
,
x
2
−
3
,
x
<
2
,
x
≥
2
is differentiable at
x
=
2
x=2
x
=
2
.
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