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Popular >

derivative of (x+2)/x

Solution

derivative of

\frac{x + 2}{x}

Solution

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

Solution steps

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

Apply the Quotient Rule:

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

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

\frac{d}{d x} (x + 2) = 1

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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