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}
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y' = \frac{2x^3+5x^2-2x^3-10x^2+2x}{x^4}
\\ y' = \frac{(-5x^2)+2x}{x^4}...
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...