What is the derivative of 3x+5/x ?

The derivative of 3x+5/x is 3-5/(x^2)

What is the first derivative of 3x+5/x ?

The first derivative of 3x+5/x is 3-5/(x^2)

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\frac{d}{d x} (3 x + \frac{5}{x})

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

Solution steps

\frac{d}{d x} (3 x + \frac{5}{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 x) + \frac{d}{d x} (\frac{5}{x})

\frac{d}{d x} (3 x) = 3

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

= 3 - \frac{5}{x ^{2}}

What is the derivative of 3x+5/x ?
The derivative of 3x+5/x is 3-5/(x^2)
What is the first derivative of 3x+5/x ?
The first derivative of 3x+5/x is 3-5/(x^2)