What is the derivative of 2x+6/x ?

The derivative of 2x+6/x is 2-6/(x^2)

What is the first derivative of 2x+6/x ?

The first derivative of 2x+6/x is 2-6/(x^2)

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\frac{d}{d x} (2 x + \frac{6}{x})

2 - \frac{6}{x ^{2}}

Solution steps

\frac{d}{d x} (2 x + \frac{6}{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 x) + \frac{d}{d x} (\frac{6}{x})

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

\frac{d}{d x} (\frac{6}{x}) = - \frac{6}{x ^{2}}

= 2 - \frac{6}{x ^{2}}

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

\int \frac{1}{9 + ( x + 1 ) ^{2}} d x

- ln (cos (x))

\int x^{5} x^{3} - 1 d x

x \to 0 lim (\frac{arctan ( x ) - x}{8 x ^{3}})

What is the derivative of 2x+6/x ?
The derivative of 2x+6/x is 2-6/(x^2)
What is the first derivative of 2x+6/x ?
The first derivative of 2x+6/x is 2-6/(x^2)