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 May 14th, 2017, 11:49 PM #1 Newbie   Joined: May 2017 From: UK Posts: 2 Thanks: 0 Differentiating equation I've been given a test paper for next years math class and it looks way over my head. One of the questions is - p = ae^-bh (equation one) Where p is pressure at height h. a and b are constants with values a = 101325 Pa and b = 1.185 x10^-4 m^-1 Differentiate equation one with respect to h and give values for the rate of change of pressure with height at a height of 4.0 x10^3 and 8.0 x10^3 Is anyone able to give me a worked answer to this question so I can see how it is done?
 May 14th, 2017, 11:57 PM #2 Senior Member     Joined: Sep 2015 From: USA Posts: 1,856 Thanks: 964 $p = a e^{-b h}$ $\dfrac{dp}{dh} = -ab e^{-bh}$ now just plug your numbers in for $a,~b,~h$

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