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Math Help - partial derivative and the chain rule

  1. #1
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    partial derivative and the chain rule

    Hi all. I had a question concerning a problem my professor has given me, and i'm stuck and how to approach this problem. I have searched online for awhile now looking for similar problems, but i have come up empty. You all seem to know what you're doing and i was hoping that maybe you could point me in the right direction. Thanks for all your help in advance.

    If z=f(x,y), x=g(t), y=h(t), g(3)=2, g(3)=5, h(3)=7, h(3)=-4,
    fx(2,7)=6 and fy(2,7)=-8 then find dz/dt at t=3. Write out the chain rule and intermediate steps.
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  2. #2
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    Quote Originally Posted by vanhartz44 View Post
    Hi all. I had a question concerning a problem my professor has given me, and i'm stuck and how to approach this problem. I have searched online for awhile now looking for similar problems, but i have come up empty. You all seem to know what you're doing and i was hoping that maybe you could point me in the right direction. Thanks for all your help in advance.

    If z=f(x,y), x=g(t), y=h(t), g(3)=2, g(3)=5, h(3)=7, h(3)=-4,
    fx(2,7)=6 and fy(2,7)=-8 then find dz/dt at t=3. Write out the chain rule and intermediate steps.
    I suspect you go to one of the UC's, prolly LA :P.

    well we know that df/dz then f is differentiable at (a,b) at if dz = f'(x)(a,b)df/dx + f'(y)xdf/dy + lim of dx and dy as they both respectively approach infinity.

    dx....dy = rate of change.
    f'(x) = partial der
    f'(y) = partial der



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  3. #3
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    lol, nope, i dont attend school in cali...
    Anyways, thanks for the reply. I'm still having a tough time following your explaniation, and i know this stuff is probably super simple and i'm just over looking something. Anyways, i appreciate your help and you taking the time to try and explain it to me. Hopefully i can figure this stuff out soon.
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