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Math Help - Using the limit definition, find f'(x) for...

  1. #1
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    Using the limit definition, find f'(x) for...

    f(x) = 1/(2x+1)

    finding this strangely hard, i think i'm making it a lot harder than it is. help is much appreciated.
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  2. #2
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    Re: Using the limit definition, find f'(x) for...

    f'(x) = \lim_{h \to 0} \frac{1}{h} \left[ \frac{1}{2(x+h)+1} - \frac{1}{2x+1} \right]

    common denominator to combine the fractions in the [ ... ]

    f'(x) = \lim_{h \to 0} \frac{1}{h} \left[ \frac{(2x+1) - [2(x+h)+1]}{[2(x+h)+1](2x+1)} \right]

    finish it ...
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