
Differential Equations Ordinary and Partial Differential Equations Math Forum 
 LinkBack  Thread Tools  Display Modes 
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: CA Posts: 1,264 Thanks: 650 
$p = a e^{b h}$ $\dfrac{dp}{dh} = ab e^{bh}$ now just plug your numbers in for $a,~b,~h$ 

Tags 
differentiating, equation 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Differentiating  jskrzy  Calculus  4  December 8th, 2012 01:54 PM 
Help differentiating.  Lucida  Calculus  1  November 21st, 2012 02:57 PM 
Differentiating e  jskrzy  Calculus  5  November 19th, 2012 10:05 AM 
Help differentiating an equation.  LeeNoob  Calculus  4  November 12th, 2011 01:55 PM 
Differentiating  David_Lete  Calculus  1  June 9th, 2010 05:49 AM 