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Average Rate of Change

The edge of a...

Question

The edge of a metal cube is increasing at the rate of 1cm/sec. How fast its surface area increasing when its edges are 1cm each

A

3cm²/sec

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B

1 cm²/sec

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C

12cm²/Sec

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D

2 cm²/sec

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Solution

The correct option is C
12cm²/Sec

$A = 6 x^{2} \Rightarrow \frac{d A}{d t} = 12 x \frac{d x}{d t}$

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