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A metal square expands and contracts with temperature, the lengths of its sides varying according to the equation 
. Find the rate of change of its surface area 
with respect to temperature. That is, find 
, where the variable with respect to which you're differentiating is the temperature, 
. Check that your answer has the right units, as in Example.
. Find the rate of change of its surface area with respect to temperature. That is, find , where the variable with respect to which you're differentiating is the temperature, . Check that your answer has the right units, as in Example.
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