What is the derivative of (x+5)/(x-5) ?

The derivative of (x+5)/(x-5) is -(10)/((x-5)^2)

What is the first derivative of (x+5)/(x-5) ?

The first derivative of (x+5)/(x-5) is -(10)/((x-5)^2)

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derivative of

\frac{x + 5}{x - 5}

- \frac{10}{( x - 5 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{x + 5}{x - 5})

Apply the Quotient Rule:

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

= \frac{\frac{d}{d x} ( x + 5 ) ( x - 5 ) - \frac{d}{d x} ( x - 5 ) ( x + 5 )}{( x - 5 ) ^{2}}

\frac{d}{d x} (x + 5) = 1

\frac{d}{d x} (x - 5) = 1

= \frac{1 \cdot ( x - 5 ) - 1 \cdot ( x + 5 )}{( x - 5 ) ^{2}}

Simplify

\frac{1 \cdot ( x - 5 ) - 1 \cdot ( x + 5 )}{( x - 5 ) ^{2}} : - \frac{10}{( x - 5 ) ^{2}}

= - \frac{10}{( x - 5 ) ^{2}}

y^{^{'}} = 5 x + y

\int x 9 x^{2} + 4 d x

\int x^{2} e^{17 x} d x

\frac{1}{s - 5} e^{- s}

a x^{2} + ∣ x ∣^{3}

What is the derivative of (x+5)/(x-5) ?
The derivative of (x+5)/(x-5) is -(10)/((x-5)^2)
What is the first derivative of (x+5)/(x-5) ?
The first derivative of (x+5)/(x-5) is -(10)/((x-5)^2)