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May 15th, 2017, 12:49 AM   #1
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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?
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May 15th, 2017, 12:57 AM   #2
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$p = a e^{-b h}$

$\dfrac{dp}{dh} = -ab e^{-bh}$

now just plug your numbers in for $a,~b,~h$
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