What is the derivative of f(x)=2x+5/x ?

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

What is the first derivative of f(x)=2x+5/x ?

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

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derivative of

f (x) = 2 x + \frac{5}{x}

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

Solution steps

\frac{d}{d x} (2 x + \frac{5}{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 x) + \frac{d}{d x} (\frac{5}{x})

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

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

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

ln (2 - x^{2})

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

\int \frac{y}{x ^{2}} d x

x \to 9 lim (x - 3)

\frac{d}{d x} (3^{\frac{1}{x}})

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