What is the derivative of 5x+2/x ?

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

What is the first derivative of 5x+2/x ?

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

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

x \to - 3 lim (x^{4} + 3 x + 9)

\int \frac{x + 4}{x ^{2} + 16} d x

y^{^{''}} - 5 y^{^{'}} + 6 y = e^{t}

\int_{0}^{1} 9 t^{4} + 4 t^{2} d t

\int_{1}^{4} (x^{2} + x) d x

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