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Math Help - Quotient rule

  1. #1
    No one in Particular VonNemo19's Avatar
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    Quotient rule

    Question 1:

    Is the derivative of f(x)=\frac{tanx}{1-2x}

    f'(x)=\frac{(1-2x)sec^2x+2tanx}{(1-2x)^2} ?

    Question 2:

    If you were going to simplify this result, how would you do it?

    My Gut is telling me to divide each term in the numerator by (1-2x). I don't think that it really matters.

    I guess my question here is:
    Does a a fraction look more simple than two seperate terms?


    Mr. Fantastic would say, "Poppycock!"
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  2. #2
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    Quote Originally Posted by VonNemo19 View Post
    Question 1:

    Is the derivative of f(x)=\frac{tanx}{1-2x}

    f'(x)=\frac{(1-2x)sec^2x+2tanx}{(1-2x)^2} ? Mr F says: Yes. And it's perfectly fine written like that.

    Question 2:

    If you were going to simplify this result, how would you do it?

    My Gut is telling me to divide each term in the numerator by (1-2x). Mr F says: That will give you something more complicated, not simpler, because the second term in the numerator does not contain a factor of (1 - 2x).

    I don't think that it really matters.

    I guess my question here is:
    Does a a fraction look more simple than two seperate terms?


    Mr. Fantastic would say, "Poppycock!"
    ..
    Last edited by mr fantastic; June 13th 2009 at 05:42 PM. Reason: Even subtlety can be provocative
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