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Mathematics
Problem
Consider
h
(
x
)
=
k
x
4
−
2
x
h(x)=k x^{4}-2x
h
(
x
)
=
k
x
4
−
2
x
. For which value of
k
k
k
is the tangent line to the graph of
h
h
h
horizontal at
x
=
1
x=1
x
=
1
? a)
2
2
2
b)
−
1
2
-\dfrac12
−
2
1
c)
1
2
\dfrac12
2
1
d)
0
0
0
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