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The side of square sheet of metal is increasing at the rate of 3cm per minutat what rate is the area increasing when the side is 10cm long?
Wiki User
∙ 14y ago
ds/dt=3cm/min, s=10, dA/dt=?
First you want a unifying formula, in this case it'd be the Area formula for a square.
A=s^2
Take the derivative with respect to time.
dA/dt=2s*ds/dt
Substitute in known values.
dA/dt=2(1)(3)
dA/dt=6 cm^2
Wiki User
∙ 14y ago
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