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Math Help - A few derivative problems

  1. #1
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    A few derivative problems

    These are a few problems from my chapter review that I was unable to solve. If you could help, I would greatly appreciate it. Thank you!


    19. The volume of a square pyramid is related to the length of a side of the base s and the height h by the formula V=(1/3)(s^2)h. How is dV/dt related to ds/dt if h is constant?

    20. If xy+x=12 and dx/dt =-3, then what is dy/dt when x=2 and y=5?

    16. At the two points where the curve x^2-xy+y^2 = 36 crosses the x-axis, the tangents to the curve are parallel. What is the common slope of these tangents?
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  2. #2
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    Re: A few derivative problems

    Well I don't know the answer but I can tell you that from where you can get the answer. There are people who can help you answer each and every question. I used to look for answers on these kind of forums but now I have experts who can help you out. You can log on to www.artifextutors.com. You can talk to there live chat experts.

    Regards
    Jean
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  3. #3
    MHF Contributor
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    Re: A few derivative problems

    Just in case a picture helps...



    ... where (key in spoiler) ...

    Spoiler:


    ... is the chain rule. Straight continuous lines differentiate downwards (integrate up) with respect to the main variable (in this case t, or x), and the straight dashed line similarly but with respect to the dashed balloon expression (the inner function of the composite which is subject to the chain rule). And...



    ... is the product rule, where, again, straight continuous lines are differentiating downwards with respect to x, or whatever.





    __________________________________________________ __________

    Don't integrate - balloontegrate!

    Balloon Calculus; standard integrals, derivatives and methods

    Balloon Calculus Drawing with LaTeX and Asymptote!
    Last edited by tom@ballooncalculus; March 20th 2013 at 09:39 AM.
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