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Math Help - Evaluate the difference quotient for the given function. Simplify Your answer

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    Evaluate the difference quotient for the given function. Simplify Your answer

    The directions for the problem are in the topic. The problem is as follows

    f(x)=x^3, f(a+h)-f(a)/h

    My prof didn't go over this type of problem in class today and it is in our homework. I just need a quick run through of how to solve it. Thanks!
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  2. #2
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    f(x+h)=(x+h)^3=x^3+3x^2h+3xh^2+h^3.
    Now you finish.
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    Where do the two 3's come from?
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    (x+h)^3 = (x+h)(x+h)(x+h). Open it!
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    Quote Originally Posted by oneway1225 View Post
    Where do the two 3's come from?
    Frankly, if you really have to ask that question then you have no reason to have been asked this question. It is simply over your level of mathematical understanding. If I were you, I would drop back to a lower level course and try to learn the basics.
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