What is the derivative of 6/x+x/6 ?

The derivative of 6/x+x/6 is -6/(x^2)+1/6

What is the first derivative of 6/x+x/6 ?

The first derivative of 6/x+x/6 is -6/(x^2)+1/6

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\frac{d}{d x} (\frac{6}{x} + \frac{x}{6})

- \frac{6}{x ^{2}} + \frac{1}{6}

Solution steps

\frac{d}{d x} (\frac{6}{x} + \frac{x}{6})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (\frac{6}{x}) + \frac{d}{d x} (\frac{x}{6})

\frac{d}{d x} (\frac{6}{x}) = - \frac{6}{x ^{2}}

\frac{d}{d x} (\frac{x}{6}) = \frac{1}{6}

= - \frac{6}{x ^{2}} + \frac{1}{6}

What is the derivative of 6/x+x/6 ?
The derivative of 6/x+x/6 is -6/(x^2)+1/6
What is the first derivative of 6/x+x/6 ?
The first derivative of 6/x+x/6 is -6/(x^2)+1/6