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Mathematics
Mathematics
Problem
A calculator reports
h
′
(
0.5
)
≈
0.8776
h'(0.5)\approx0.8776
h
′
(
0.5
)
≈
0.8776
for
h
(
x
)
=
sin
(
2
x
)
x
h(x)=\dfrac{\sin(2x)}{x}
h
(
x
)
=
x
sin
(
2
x
)
. Based on this value, is
h
h
h
increasing or decreasing at
x
=
0.5
x=0.5
x
=
0.5
? Explain briefly.
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