What is the derivative of 2x+(18/x+1) ?

The derivative of 2x+(18/x+1) is -(18)/(x^2)+2

What is the first derivative of 2x+(18/x+1) ?

The first derivative of 2x+(18/x+1) is -(18)/(x^2)+2

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\frac{d}{d x} (2 x + \frac{18}{x} + 1)

- \frac{18}{x ^{2}} + 2

Solution steps

\frac{d}{d x} (2 x + \frac{18}{x} + 1)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 x) + \frac{d}{d x} (\frac{18}{x}) + \frac{d}{d x} (1)

\frac{d}{d x} (2 x) = 2

\frac{d}{d x} (\frac{18}{x}) = - \frac{18}{x ^{2}}

\frac{d}{d x} (1) = 0

= 2 - \frac{18}{x ^{2}} + 0

Simplify

= - \frac{18}{x ^{2}} + 2

What is the derivative of 2x+(18/x+1) ?
The derivative of 2x+(18/x+1) is -(18)/(x^2)+2
What is the first derivative of 2x+(18/x+1) ?
The first derivative of 2x+(18/x+1) is -(18)/(x^2)+2