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Math Help - Finding the slope of a parametric equation

  1. #1
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    Finding the slope of a parametric equation

    You're given the parametric equation of a curve:

    <br />
x(t) = t^b\cos(2\pit)  <br />
y(t) = t^b/sin(2\pit)<br />

    Find the slope of the graph when t > 0.

    <br />
x'(t) = (t^b)(-\sin(2\pit))(2\pi) + (cos(2\pit))(bt^(b-1))<br /> <br />
y'(t) = (t^b)(2\picos(2\pit)) + (sin(s\pit))(bt^(b-1))<br />

    Can anyone direct me to the thread that teaches you how to use LATEX??
    Last edited by iflyboats; May 19th 2011 at 12:31 PM.
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  2. #2
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    I have moved this thread into the forum which has all the help you need. Tip: use [tex][/tex] tags for now, instead of the math tags.
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  3. #3
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    Quote Originally Posted by iflyboats View Post
    You're given the parametric equation of a curve:

    x(t) = t^b\cos(2\pi t)
    y(t) = t^b\sin(2\pi t)

    Find the slope of the graph when t > 0.

    x'(t) = (t^b)(-\sin(2\pi t))(2\pi) + (\cos(2\pi t))(bt^{b-1})
    y'(t) = (t^b)(2\pi\cos(2\pi t)) + (\sin(2\pi t))(bt^{b-1})

    Can anyone direct me to the thread that teaches you how to use LATEX??
    Apart from replacing the [tex] [/tex] tags by [TEX] [/TEX], you need to be careful about a couple of other things:

    1. Don't write \pit (TeX will think that "pit" is a command). Instead, you should leave a space after \pi. In fact, that is good practice with all TeX commands.

    2. Use braces { }, not parentheses ( ), in expressions like t^{b-1}. Tex will only treat the first character after ^ as a superscript unless you use braces. If you write t^(b-1), it will come out as
    t^(b-1),
    with just the opening parenthesis superscripted.

    Finally, the dialect of TeX used in this forum is a bit touchy about carriage returns (basically, it doesn't like them). So write your equations as

    [TEX] x = y [/TEX] (all on one line)

    rather than

    [TEX]
    x=y
    [/TEX],

    and enclose each line of TeX in separate [TEX] [/TEX] tags.

    Put those little things right, and your TeX will come out nicely, as above.
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