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Math Help - Finding the slope of a polynomial function

  1. #1
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    Finding the slope of a polynomial function

    The direction are to find g'(x) for the function. g'(x)= slope
    this is the equation we are given
    g'(x)=lim (g(x+h)-g(x))/h The limit is h>0

    the function is rad(3x-2)
    idk how to do the rad sign on the keyboard. ITs all under the rad

    i know how to do these problems, its just i got stuck on this specific one. Thanks a lot for the help
    Attached Thumbnails Attached Thumbnails Finding the slope of a polynomial function-scan0001.jpg  
    Last edited by Kasra12321; April 19th 2009 at 09:47 PM. Reason: Im adding the work if have so done, Im sorry if its hard to read. Hopefully it will help you
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  2. #2
    MHF Contributor red_dog's Avatar
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    \lim_{h\to 0}\frac{\sqrt{3(x+h)-2}-\sqrt{3x-2}}{h}=\lim_{h\to 0}\frac{3(x+h)-2-3x+2}{h\left(\sqrt{3(x+h)-2}+\sqrt{3x-2}\right)}=

    =\lim_{h\to 0}\frac{3}{\sqrt{3(x+h)-2}+\sqrt{3x-2}}=\frac{3}{2\sqrt{3x-2}}
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  3. #3
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    thanks

    thanks you
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  4. #4
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    Talking

    Keep track of that "multiply by the conjugate" trick the helper showed you. You will need it again!
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