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

The derivative of (2x)/(-x+2) is 4/((-x+2)^2)

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

The first derivative of (2x)/(-x+2) is 4/((-x+2)^2)

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derivative of

\frac{2 x}{- x + 2}

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

Solution steps

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

Take the constant out:

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

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

Apply the Quotient Rule:

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

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

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

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

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

Simplify

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

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

\int \frac{1}{3 ^{2 x}} d x

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

x \to 0 lim (tan^{x} (2 x))

y = 2 x^{2} 25 - x^{2}

y^{^{'}} = x y - y

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