What is the derivative of x+5/x ?

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

What is the first derivative of x+5/x ?

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

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derivative of

x + \frac{5}{x}

1 - \frac{5}{x ^{2}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d x}{d x} = 1

\frac{d}{d x} (\frac{5}{x}) = - \frac{5}{x ^{2}}

= 1 - \frac{5}{x ^{2}}

\int_{0}^{1} \frac{10}{4 y - 1} d y

x \to - 1 lim (ln (x))

d er i v a t i v e y = sin^{2} (x^{3})

h \to 0 lim (\frac{( h - 3 ) ^{2} - 9}{h})

t a y l or 8 + x^{2}, 1

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