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Mathematics
Problem
Temperatures in degrees Celsius are related to degrees Fahrenheit by
C
(
F
)
=
5
9
(
F
−
32
)
C(F)=\dfrac{5}{9}(F-32)
C
(
F
)
=
9
5
(
F
−
32
)
. Compute
(
C
−
1
)
′
(
37
)
(C^{-1})'(37)
(
C
−
1
)
′
(
37
)
, the rate of change of Fahrenheit with respect to Celsius at
37
∘
C
37^{\circ}\text{C}
3
7
∘
C
, and state the units of your answer.
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