What is the derivative of (10x+20)/x ?

The derivative of (10x+20)/x is -(20)/(x^2)

What is the first derivative of (10x+20)/x ?

The first derivative of (10x+20)/x is -(20)/(x^2)

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derivative of

\frac{10 x + 20}{x}

- \frac{20}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{10 x + 20}{x})

Apply the Quotient Rule:

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

= \frac{\frac{d}{d x} ( 10 x + 20 ) x - \frac{d x}{d x} ( 10 x + 20 )}{x ^{2}}

\frac{d}{d x} (10 x + 20) = 10

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

= \frac{10 x - 1 \cdot ( 10 x + 20 )}{x ^{2}}

Simplify

\frac{10 x - 1 \cdot ( 10 x + 20 )}{x ^{2}} : - \frac{20}{x ^{2}}

= - \frac{20}{x ^{2}}

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What is the derivative of (10x+20)/x ?
The derivative of (10x+20)/x is -(20)/(x^2)
What is the first derivative of (10x+20)/x ?
The first derivative of (10x+20)/x is -(20)/(x^2)