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Mathematics
Mathematics
Problem
The surface area of a crystal grows according to
S
(
x
)
=
2
x
3
/
4
S(x)=2x^{3/4}
S
(
x
)
=
2
x
3/4
square centimeters, where
x
x
x
is its edge length in centimeters. Determine
d
S
d
x
\dfrac{dS}{dx}
d
x
d
S
at
x
=
16
cm
x=16\text{ cm}
x
=
16
cm
.
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