What is the derivative of 1/x+6 ?

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

What is the first derivative of 1/x+6 ?

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

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derivative of

\frac{1}{x} + 6

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (\frac{1}{x}) = - \frac{1}{x ^{2}}

\frac{d}{d x} (6) = 0

= - \frac{1}{x ^{2}} + 0

Simplify

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

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