Differential Equations Ordinary and Partial Differential Equations Math Forum

 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: 2,459 Thanks: 1340 $p = a e^{-b h}$ $\dfrac{dp}{dh} = -ab e^{-bh}$ now just plug your numbers in for $a,~b,~h$ Tags differentiating, equation Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post jskrzy Calculus 4 December 8th, 2012 12:54 PM Lucida Calculus 1 November 21st, 2012 01:57 PM jskrzy Calculus 5 November 19th, 2012 09:05 AM LeeNoob Calculus 4 November 12th, 2011 12:55 PM David_Lete Calculus 1 June 9th, 2010 05:49 AM

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