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Popular >

derivative of x/(x+17)

Solution

derivative of

\frac{x}{x + 17}

Solution

\frac{17}{( x + 17 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{x}{x + 17})

Apply the Quotient Rule:

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

= \frac{\frac{d x}{d x} ( x + 17 ) - \frac{d}{d x} ( x + 17 ) x}{( x + 17 ) ^{2}}

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

\frac{d}{d x} (x + 17) = 1

= \frac{1 \cdot ( x + 17 ) - 1 \cdot x}{( x + 17 ) ^{2}}

1 \cdot (x + 17) - 1 \cdot x = 17

= \frac{17}{( x + 17 ) ^{2}}

Graph

Popular Examples

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y = 9 - x^{2}, y = 4 x

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

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\int_{- 1}^{0} x^{\frac{1}{3}} - x^{\frac{2}{3}} d x

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\int \frac{2 x}{( x ^{2} + y ^{2} ) ^{2}} d x

Frequently Asked Questions (FAQ)

What is the derivative of x/(x+17) ?
The derivative of x/(x+17) is (17)/((x+17)^2)
What is the first derivative of x/(x+17) ?
The first derivative of x/(x+17) is (17)/((x+17)^2)