What is the derivative of x/(x+2) ?

The derivative of x/(x+2) is 2/((x+2)^2)

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

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

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derivative of

\frac{x}{x + 2}

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

Solution steps

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

Apply the Quotient Rule:

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

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

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

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

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

1 \cdot (x + 2) - 1 \cdot x = 2

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

5 y^{^{'}} + y = 0

\int_{1}^{7} \frac{x ^{2} - 1}{x} d x

\frac{d}{d t} (t - 1)

f (x) = 645120

\int_{- \infty}^{0} z e^{4 z} d z

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