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Popular >

derivative of ((x+1)/((x+2)))

Solution

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

Solution

\frac{1}{( x + 2 ) ^{2}}

Solution steps

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

Apply the Quotient Rule:

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

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

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

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

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

Simplify

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

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

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\int_{0}^{4} \frac{1}{16 + t ^{2}} d t

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

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n = 0 \sum \infty \frac{7 ^{n}}{6 ^{n}}

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\int 8 x (4 x^{2} - 3)^{5} d x

Frequently Asked Questions (FAQ)

What is the derivative of ((x+1)/((x+2))) ?
The derivative of ((x+1)/((x+2))) is 1/((x+2)^2)
What is the first derivative of ((x+1)/((x+2))) ?
The first derivative of ((x+1)/((x+2))) is 1/((x+2)^2)