What is the derivative of x/(4+x) ?

The derivative of x/(4+x) is 4/((4+x)^2)

What is the first derivative of x/(4+x) ?

The first derivative of x/(4+x) is 4/((4+x)^2)

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\frac{d}{d x} (\frac{x}{4 + x})

\frac{4}{( 4 + x ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{x}{4 + x})

Apply the Quotient Rule:

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

= \frac{\frac{d x}{d x} ( 4 + x ) - \frac{d}{d x} ( 4 + x ) x}{( 4 + x ) ^{2}}

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

\frac{d}{d x} (4 + x) = 1

= \frac{1 \cdot ( 4 + x ) - 1 \cdot x}{( 4 + x ) ^{2}}

Simplify

= \frac{4}{( 4 + x ) ^{2}}

3 y^{^{''}} + 8 y^{^{'}} - 16 y = 0

y^{^{''}} + 4 y = e^{- x}

\frac{\partial}{\partial x} (t^{2} e^{- x})

\int 2 x (x^{2} + 1)^{5} d x

\frac{\partial}{\partial x} (ln (5 x))

What is the derivative of x/(4+x) ?
The derivative of x/(4+x) is 4/((4+x)^2)
What is the first derivative of x/(4+x) ?
The first derivative of x/(4+x) is 4/((4+x)^2)