How do you find the derivative of $f(x)=5(x+1-1/x)$ ?

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Answer 1 · 2017-04-15T20:14:57

$f(x)=5+5x^-2$

First, distribute the $5$ :

$f(x)=5x+5-5/x$

Rewrite $5/x$ as $5x^-1$

$f(x)=5x+5-5x^-1$

$f(x)=5+5x^-2$

How do you find the derivative of f(x)=5(x+1-1/x)f(x)=5(x+1-1/x)?