What is the derivative of x/(8+x) ?

The derivative of x/(8+x) is 8/((8+x)^2)

What is the first derivative of x/(8+x) ?

The first derivative of x/(8+x) is 8/((8+x)^2)

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\frac{d}{d x} (\frac{x}{8 + x})

\frac{8}{( 8 + x ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{x}{8 + x})

Apply the Quotient Rule:

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

= \frac{\frac{d x}{d x} ( 8 + x ) - \frac{d}{d x} ( 8 + x ) x}{( 8 + x ) ^{2}}

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

\frac{d}{d x} (8 + x) = 1

= \frac{1 \cdot ( 8 + x ) - 1 \cdot x}{( 8 + x ) ^{2}}

Simplify

= \frac{8}{( 8 + x ) ^{2}}

\frac{d y}{d x} + \frac{y}{x} = 6 x^{7} y^{2}

\frac{d}{d x} (e^{x} + e^{e} + e x)

\frac{9 t}{4 + t ^{2}}

n = 3 \sum \infty \frac{1}{n}

3 - 5 x

What is the derivative of x/(8+x) ?
The derivative of x/(8+x) is 8/((8+x)^2)
What is the first derivative of x/(8+x) ?
The first derivative of x/(8+x) is 8/((8+x)^2)