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The rate of change of the area of a circle with respect to its radius r, when r = 3 cm, is _________.

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$A = \pi r^2$

$\frac{dA}{dr} = 2\pi r$

$\frac{dA}{dr}_{at r = 3} = 2\pi \times 3 = 6 \pi \ cm^2 /cm$

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