What is the derivative of x-3/x ?

The derivative of x-3/x is 1+3/(x^2)

What is the first derivative of x-3/x ?

The first derivative of x-3/x is 1+3/(x^2)

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

1 + \frac{3}{x ^{2}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (\frac{3}{x}) = - \frac{3}{x ^{2}}

= 1 - (- \frac{3}{x ^{2}})

Simplify

= 1 + \frac{3}{x ^{2}}

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

y^{^{''}} - 9 y^{^{'}} + 18 y = 0

\frac{x}{y ^{13}} + B e^{y}

\int (csc^{4} (θ)) d θ

\frac{d}{d x} ((2 x^{3} - 4 x^{2}) (3 x^{5} + x^{2}))

What is the derivative of x-3/x ?
The derivative of x-3/x is 1+3/(x^2)
What is the first derivative of x-3/x ?
The first derivative of x-3/x is 1+3/(x^2)