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posted by  macg on 11/24/2008 10:32:41 AM  |  status: Live  

derivatives

Course Textbook Chapter Problem
Calculus Calculus: Early Transcendentals (5th) by Stewart chapter 3 N/A
Question Details:
given y = f(u) and u = g(x) find dy/dx
y = u(u-1), u = x^2 + x

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posted by kamy on 11/24/2008 10:47:13 AM  |  status: Live
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"thank you so much!!!!!!!!!!!!!!!"
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posted by Altair on 11/24/2008 10:49:29 AM  |  status: Live
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macg's comment:
"thank you "
Response Details:
dy/dx = (dy/du)(du/dx)
 
y = u(u-1)=u2-u
dy/du = 2u-1
du/dx=2x+1
 
dydx = (2u-1)*(2x+1)=(2x2+2x-1)(2x+1) = 4x3 + 6x2 - 1
 

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