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Math Help - Algebra help

  1. #1
    Newbie
    Joined
    Feb 2013
    From
    Melbourne
    Posts
    8

    Algebra help

    Find the equation of the tangent to the curve

    2x^2+y
    -xy^2-2y^3=4 at the point (-1,1)

    2. Consider the function

    f
    (x) = arcsin

    

    3
    x2 +

    1

    3

    

    :

    (a) What is the implied domain of
    f(x)?

    (b) Use implicit di
    erentiation to calculate f'(x)? Why is it different to (a)? (What happens to the graph of f(x) at the points where derivative f'(x) doesnt exist+
    f0(x). Make sure you justify the choice of

    any
     signs.

    (c) What is the implied domain of
    f0(x)? Why is it di
    erent to (a)? (What happens to


    the graph of
    f(x) at the points where the derivative f0(x) doesn't exist?)

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  2. #2
    Super Member
    Joined
    Feb 2014
    From
    United States
    Posts
    569
    Thanks
    274

    Re: Algebra help

    The volunteers here are happy to HELP, but I think you misunderstand what they do. They do not provide answers, rather they assist you as YOU solve the problem.

    In the future, please:

    (1) provide one problem per thread;

    (2) show what work you have done, or if you have not done any, give a brief description of why you cannot even start; and

    (3) put your thread in an appropriate forum so that the right volunteers will see it. This thread belongs in calculus or pre-calculus, not algebra.

    As for your first problem, use implicit differentiation to find the derivative, and simply plug in the given numbers for x and y. Show us your differentiation and answer so we can make sure you made no mistakes. (I am presuming this problem would not have been assigned without explaining implicit differentiation. If that assumption is incorrect, please tell us that the topic in unknown to you, and we shall go from there.)

    As for the second problem, "consider" the function? What does that even mean, to ponder on its significance like a Zen koan?
    Thanks from romsek
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