What is the derivative of x+4/x ?

The derivative of x+4/x is 1-4/(x^2)

What is the first derivative of x+4/x ?

The first derivative of x+4/x is 1-4/(x^2)

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derivative of

x + \frac{4}{x}

1 - \frac{4}{x ^{2}}

Solution steps

\frac{d}{d x} (x + \frac{4}{x})

Apply the Sum/Difference Rule:

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

= \frac{d x}{d x} + \frac{d}{d x} (\frac{4}{x})

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

\frac{d}{d x} (\frac{4}{x}) = - \frac{4}{x ^{2}}

= 1 - \frac{4}{x ^{2}}

\int - 3 cos (4 x) d x

\int_{1}^{2} x e^{8 x^{2}} d x

x y^{^{'}} + 2 y = - e^{x}

y^{^{'}} = - 0.5 y

f (x) = x^{2} (- 3 x^{2} - 2)

What is the derivative of x+4/x ?
The derivative of x+4/x is 1-4/(x^2)
What is the first derivative of x+4/x ?
The first derivative of x+4/x is 1-4/(x^2)