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Math Help - Derivative

  1. #1
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    Derivative

    Calculate the derivative of f(x) = 1/x using the method:

    lim ( f(x + h) - f(x) ) / h.

    Its been so long since I've calucated a derivative this way. Can someone go through the steps please. Thanks a lot
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  2. #2
    Super Member redsoxfan325's Avatar
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    Quote Originally Posted by jzellt View Post
    Calculate the derivative of f(x) = 1/x using the method:

    lim ( f(x + h) - f(x) ) / h.

    Its been so long since I've calucated a derivative this way. Can someone go through the steps please. Thanks a lot
    \frac{\frac{1}{x+h}-\frac{1}{x}}{h}=\frac{\frac{-h}{x(x+h)}}{h}=\frac{-1}{x(x+h)}

    \lim_{h\to0}\frac{-1}{x(x+h)}=-\frac{1}{x^2}
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