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Show that f(x)=1/x is decreasing functio...

Show that `f(x)=1/x` is decreasing function on `(0,oo)dot`

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f(x)= `1/x`
​ diff wrt x
f ′ (x)=− `1/(x^2)`
​ `f ′ (x)=0`
i.e., f ′ (x) is not greater than zero its value is negative
∴f(x) is decreasing function on (0,∞).
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