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13. Derivative as a Rate Measurer
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Q6 of 78 Page 13

The side of an equilateral triangle is increasing at the rate of .... cm/sec. Find the rate of increase of its perimeter.

The perimeter of an equilateral triangle, with side a, is defined as

P(a)=3a – (1)


Given that , we have to calculate


Differentiating (1) with respect to t, we get



Substituting the values, we get



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4

The side of a square is increasing at the rate of 0.1 cm/sec. Find the rate of increase of its perimeter.

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7

Find the surface area of a sphere when its volume is changing at the same rate as its radius.

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13. Derivative as a Rate Measurer
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