Question: (a) Use the formula for the area of a circle of radius r, A = r 2 , to find dAdr. (b) The result from

(a) Use the formula for the area of a circle of radius r, A = πr², to find dA∕dr.
(b) The result from part (a) should look familiar. What does dA∕dr represent geometrically?
(c) Use the difference quotient to explain the observation you made in part (b).

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