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anonymous
 5 years ago
Using definition of derivative prove that (1/x)'=1/x^2
anonymous
 5 years ago
Using definition of derivative prove that (1/x)'=1/x^2

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Example 2: (d/dx)(1/x) = 1/(x2) f(x) = 1/x f'(x) = (d/dx)(1/x) = (d/dx)(x1) = (1)x2 = 1/(x2)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0(1/x)' = 1/x^2 D(1/x) = 1/x^2 x(0)  1(1)  = 1/x^2 x^2 1/x^2 = 1/x^2

nikvist
 5 years ago
Best ResponseYou've already chosen the best response.0\[f'(x)=\lim_{h\rightarrow 0}\frac{f(x+h)f(x)}{h} =\lim_{h\rightarrow 0}\frac{\frac{1}{x+h}\frac{1}{x}}{h}= \lim_{h\rightarrow 0}\frac{1}{x(x+h)}=\frac{1}{x^2}\]

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0hmmm.... i spose that would be more accutate depending on your definition of a derivative :)
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