What is the derivative of (220x)/((x+2)^2) ?

The derivative of (220x)/((x+2)^2) is (220(2-x))/((x+2)^3)

What is the first derivative of (220x)/((x+2)^2) ?

The first derivative of (220x)/((x+2)^2) is (220(2-x))/((x+2)^3)

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derivative of

\frac{220 x}{( x + 2 ) ^{2}}

\frac{220 ( 2 - x )}{( x + 2 ) ^{3}}

Solution steps

\frac{d}{d x} (\frac{220 x}{( x + 2 ) ^{2}})

Take the constant out:

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

= 220 \frac{d}{d x} (\frac{x}{( x + 2 ) ^{2}})

Apply the Quotient Rule:

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

= 220 \cdot \frac{\frac{d x}{d x} ( x + 2 ) ^{2} - \frac{d}{d x} ( ( x + 2 ) ^{2} ) x}{( ( x + 2 ) ^{2} ) ^{2}}

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

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

= 220 \cdot \frac{1 \cdot ( x + 2 ) ^{2} - 2 ( x + 2 ) x}{( ( x + 2 ) ^{2} ) ^{2}}

Simplify

220 \cdot \frac{1 \cdot ( x + 2 ) ^{2} - 2 ( x + 2 ) x}{( ( x + 2 ) ^{2} ) ^{2}} : \frac{220 ( 2 - x )}{( x + 2 ) ^{3}}

= \frac{220 ( 2 - x )}{( x + 2 ) ^{3}}

\int (1 - \frac{3}{y} + x) d y

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

n = 0 \sum \infty \frac{n ^{6}}{2 ^{n}}

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

\frac{d}{d x} (\frac{2 x ^{3} - 7}{x ^{2}})

What is the derivative of (220x)/((x+2)^2) ?
The derivative of (220x)/((x+2)^2) is (220(2-x))/((x+2)^3)
What is the first derivative of (220x)/((x+2)^2) ?
The first derivative of (220x)/((x+2)^2) is (220(2-x))/((x+2)^3)