What is the derivative of x/(x+16) ?

The derivative of x/(x+16) is (16)/((x+16)^2)

What is the first derivative of x/(x+16) ?

The first derivative of x/(x+16) is (16)/((x+16)^2)

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\frac{d}{d x} (\frac{x}{x + 16})

\frac{16}{( x + 16 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{x}{x + 16})

Apply the Quotient Rule:

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

= \frac{\frac{d x}{d x} ( x + 16 ) - \frac{d}{d x} ( x + 16 ) x}{( x + 16 ) ^{2}}

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

\frac{d}{d x} (x + 16) = 1

= \frac{1 \cdot ( x + 16 ) - 1 \cdot x}{( x + 16 ) ^{2}}

1 \cdot (x + 16) - 1 \cdot x = 16

= \frac{16}{( x + 16 ) ^{2}}

x \to 3 lim (\frac{0}{x - 3})

n = 0 \sum \infty 1 1^{n}

\frac{d}{d x} (ln (x^{3} + x))

\int e^{\frac{- x + 2}{3}} d x

y^{^{''}} - 16 y = \frac{16 x}{e ^{4 x}}

What is the derivative of x/(x+16) ?
The derivative of x/(x+16) is (16)/((x+16)^2)
What is the first derivative of x/(x+16) ?
The first derivative of x/(x+16) is (16)/((x+16)^2)