What is the derivative of 5/(4+x) ?

The derivative of 5/(4+x) is -5/((4+x)^2)

What is the first derivative of 5/(4+x) ?

The first derivative of 5/(4+x) is -5/((4+x)^2)

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\frac{d}{d x} (\frac{5}{4 + x})

- \frac{5}{( 4 + x ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{5}{4 + x})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 5 \frac{d}{d x} (\frac{1}{4 + x})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= 5 \frac{d}{d x} ((4 + x)^{- 1})

Apply the chain rule:

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

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

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

= 5 (- \frac{1}{( 4 + x ) ^{2}} \cdot 1)

Simplify

5 (- \frac{1}{( 4 + x ) ^{2}} \cdot 1) : - \frac{5}{( 4 + x ) ^{2}}

= - \frac{5}{( 4 + x ) ^{2}}

\frac{\partial}{\partial x} (\frac{e ^{y}}{x + y ^{8}})

f (x) = x^{2} - 12, g (x) = 4 x

\frac{d}{d x} (\frac{cos ( x ) - 1}{x})

y^{^{''}} - 12 y + 36 y = 0

\frac{( e ^{- 1 - x} - e ^{- 1} )}{x}

What is the derivative of 5/(4+x) ?
The derivative of 5/(4+x) is -5/((4+x)^2)
What is the first derivative of 5/(4+x) ?
The first derivative of 5/(4+x) is -5/((4+x)^2)