September 2nd, 2019, 05:37 PM  #1 
Newbie Joined: Sep 2019 From: West Virginia Posts: 1 Thanks: 0  Help with Calculus II Problem 
September 2nd, 2019, 08:45 PM  #2 
Senior Member Joined: Sep 2015 From: USA Posts: 2,553 Thanks: 1403 
$\dfrac{d}{dw} \displaystyle \int_{f(w)}^{g(w)} ~h(u)~du = h(g(w))\dfrac{dg}{dw}  h(f(w))\dfrac{df}{dw}$ 
September 3rd, 2019, 03:00 AM  #3 
Math Team Joined: Jul 2011 From: Texas Posts: 3,016 Thanks: 1600 
$\displaystyle f(z) = \int_a^{g(z)} h(t) \, dt \implies f’(z) = h[g(z)] \cdot g’(z)$ Edit ... noticed this was a duplicate post after the fact. Last edited by skeeter; September 3rd, 2019 at 03:06 AM. 
September 3rd, 2019, 06:38 AM  #4 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,963 Thanks: 1148 Math Focus: Elementary mathematics and beyond 
Threads merged and placed in Calculus.


Tags 
calculus, derivative, integral, integral calculus, problem, substitution 
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