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    Derivative of (x^2+5x-1)/(x^2)

    Homework Statement Find the first derivative of [...] (below) Homework Equations ((x^2)+5x-1)/(x^2) The Attempt at a Solution (x^2+5x-1)/(x^2) y' = \frac{(x^2)(2x+5-0)-((x^2)+5x+-1)(2x)}{x^4} \\ y' = \frac{2x^3+5x^2-2x^3-10x^2+2x}{x^4} \\ y' = \frac{(-5x^2)+2x}{x^4}...
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    Troubleshooting Differentiation Using the Long Formula

    Thanks for the quick reply. That would mean the solution to this particular problem is - \frac{1}{16}?
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    Troubleshooting Differentiation Using the Long Formula

    Homework Statement I have to differentiate using the long formula [f(x+h)-f(x)] / (h). Homework Equations f(x) = (1)/(2+x), x=2 The Attempt at a Solution First I wrote [ (1/2+x+h) - (1/2+x) ] / (h). Then I created a common denominator in the numerator. I then made the bottom...
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