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))

\frac{\partial}{\partial x} (4 x^{0.5} y^{0.5})

y = sin^{2} (x^{3})

\int \frac{3 x ^{2}}{x ^{3} + 1} d x

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)