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Math Help - What is the difference between a limit and a derivative?

  1. #1
    Senior Member sakonpure6's Avatar
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    What is the difference between a limit and a derivative?

    In both cases we are finding a limit as a variable approaches 0. So, can some one give me a distinction. Thanks!
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    Re: What is the difference between a limit and a derivative?

    Sure, all derivatives are defined as certain limits, but there are limits that are not the derivative for any function.
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    Re: What is the difference between a limit and a derivative?

    Quote Originally Posted by sakonpure6 View Post
    In both cases we are finding a limit as a variable approaches 0. So, can some one give me a distinction.
    Where did you get that idea. If you really think that id correct, then you are in need of help that is far beyond what this forum is prepared to offer. We do no tutoring here.

    You really do need the services of a live tutor.
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    Senior Member sakonpure6's Avatar
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    Re: What is the difference between a limit and a derivative?

    Ok here is what I really know. When evaluating a limir we are finding the corresponding y value of a function as x approaches a certain variable. On the other hand the derivative is evaluating the differnce quotient as h approaches 0 (which represents the slope of the tangent). So, am I correct?
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    Re: What is the difference between a limit and a derivative?

    Quote Originally Posted by sakonpure6 View Post
    Ok here is what I really know. When evaluating a limir we are finding the corresponding y value of a function as x approaches a certain variable. On the other hand the derivative is evaluating the differnce quotient as h approaches 0 (which represents the slope of the tangent). So, am I correct?
    You are correct that the derivative is an application of limits but as Slip said not all limits are derivatives
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