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Popular >

derivative of x/(x+4)

Solution

derivative of

\frac{x}{x + 4}

Solution

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

Solution steps

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

Apply the Quotient Rule:

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

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

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

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

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

1 \cdot (x + 4) - 1 \cdot x = 4

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

Popular Examples

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\frac{1}{s + 1} - s - 1

tangent of y=x^5,(-1,-1)tangent of

y = x^{5}, (- 1, - 1)

derivative of 1/(2sqrt(x)+1/(4x^{3/4)})

\frac{d}{d x} (\frac{1}{2 x} + \frac{1}{4 x ^{\frac{3}{4}}})

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xy^'-y=x^2sin(x)

x y^{^{'}} - y = x^{2} sin (x)

Frequently Asked Questions (FAQ)

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