What is the derivative of (x-3/x) ?

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

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

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

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

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

Solution steps

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

Apply the Quotient Rule:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

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

\frac{d}{d x} (x - 3) = 1

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

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

Simplify

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

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

x y^{^{'}} + 3 y = \frac{2 e ^{- 4 x}}{x ^{2}}

\int csc^{2} (u) d u

n = 1 \sum \infty n! (0)^{n}

\frac{\partial}{\partial x} (y^{3} - 1)

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