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Math Help - Rates of change

  1. #1
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    Post Rates of change

    Let g(x) = x^2-3x+4

    a. Find the average rate of change of g over the interval [1,4]

    b. Find the rate of change of g at x=3

    c. Find the equation of the tangent line at x=3

    d. Find the equation of the normal line at x=3


    Here are my answers, are they correct?

    a. 2

    b. 3

    c. y-4=3(x-3)

    d. y-4=-\frac{1}{3}(x-3)
    Last edited by live_laugh_luv27; October 25th 2009 at 11:45 AM.
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  2. #2
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    As far as i can see it looks good.
    So for a you used f(b)-f(a)/b-a , for b you found f'(3) and your line equations look good.
    Nice job.
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  3. #3
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    Quote Originally Posted by Arturo_026 View Post
    As far as i can see it looks good.
    So for a you used f(b)-f(a)/b-a , for b you found f'(3) and your line equations look good.
    Nice job.
    ok, thanks..just wanted to make sure I'm doing the problem right.
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