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Algebra of Derivatives

If fx=x+log...

Question

If $f (x) = x + log x$ find $f^{'} (x)$

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Solution

$f (x) = x + log x f^{'} (x) = \frac{d}{d x} x + \frac{d}{d x} log x f^{'} (x) = 1 + \frac{1}{x}$

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