What is the derivative of ((x+1)/x)+5 ?

The derivative of ((x+1)/x)+5 is -1/(x^2)

What is the first derivative of ((x+1)/x)+5 ?

The first derivative of ((x+1)/x)+5 is -1/(x^2)

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derivative of

(\frac{x + 1}{x}) + 5

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

Solution steps

\frac{d}{d x} (\frac{x + 1}{x} + 5)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{x + 1}{x}) + \frac{d}{d x} (5)

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

\frac{d}{d x} (5) = 0

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

Simplify

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

\frac{- 2 x}{5}

f (x) = 2 x - x^{2}

x^{2} + sin (x) + 1

f (x) = 2 + 31 n (x - 4 x + 1)

(e^{x})^{\frac{1}{2}}

What is the derivative of ((x+1)/x)+5 ?
The derivative of ((x+1)/x)+5 is -1/(x^2)
What is the first derivative of ((x+1)/x)+5 ?
The first derivative of ((x+1)/x)+5 is -1/(x^2)