What is the derivative of x+6/x ?

The derivative of x+6/x is 1-6/(x^2)

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

The first derivative of x+6/x is 1-6/(x^2)

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derivative of

x + \frac{6}{x}

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d x}{d x} = 1

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

= 1 - \frac{6}{x ^{2}}

\frac{d}{d x} (\frac{e ^{4 x}}{x ^{20}})

\frac{d}{d x} (25 x sin (11 x))

\int 3 x^{2} e^{x^{3}} d x

\frac{d}{d x} (3 x - 6 x)

\int_{1}^{\infty} \frac{1}{x ^{3}} d x

What is the derivative of x+6/x ?
The derivative of x+6/x is 1-6/(x^2)
What is the first derivative of x+6/x ?
The first derivative of x+6/x is 1-6/(x^2)