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Math Help - Derivative function is curved?

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    Derivative function is curved?

    When you have a parabola, the derivative function is a straight line because the rate of change is changing at a constant rate, I suppose. In third degree and fourth degree functions you have curves, but the derivative function graph is curved as well. What is the difference? Why?
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by theowne View Post
    When you have a parabola, the derivative function is a straight line because the rate of change is changing at a constant rate, I suppose. In third degree and fourth degree functions you have curves, but the derivative function graph is curved as well. What is the difference? Why?
    the difference is that the curves are not changing at a constant rate. in general, the derivative will have 1 less degree than any polynomial of integral degree (meaning the degree is an integer).
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