# Thread: Boyle's Law, Derivatives, and Rates of Change

1. ## Boyle's Law, Derivatives, and Rates of Change

"Boyle's Law states that if the temperature of a gas remains constant, its pressure is inversely proportional to its volume. Use the derivative to show that the rate of change of the pressure is inversely proportional to the square of the volume."

It's Greek to me. Help clarify it for me, please?

2. Originally Posted by seuzy13
"Boyle's Law states that if the temperature of a gas remains constant, its pressure is inversely proportional to its volume. Use the derivative to show that the rate of change of the pressure is inversely proportional to the square of the volume."

It's Greek to me. Help clarify it for me, please?
$\displaystyle P = \frac{k}{V}$ where k is constant.

You could take a time derivative but I don't see how that'd help

3. Originally Posted by e^(i*pi)
$\displaystyle P = \frac{k}{V}$ where k is constant.

You could take a time derivative but I don't see how that'd help
Hmm... could it possibly be that:
$\displaystyle p' = \frac{v(k') - v'(k)}{v^2}$
Shows they are inversely proportional?

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# how is boyle's law deri

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