What is the derivative of (sqrt(s)-1)/(sqrt(s)+1) ?

The derivative of (sqrt(s)-1)/(sqrt(s)+1) is 1/(sqrt(s)(\sqrt{s)+1)^2}

What is the first derivative of (sqrt(s)-1)/(sqrt(s)+1) ?

The first derivative of (sqrt(s)-1)/(sqrt(s)+1) is 1/(sqrt(s)(\sqrt{s)+1)^2}

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derivative of

\frac{s - 1}{s + 1}

\frac{1}{s ( s + 1 ) ^{2}}

Solution steps

\frac{d}{d s} (\frac{s - 1}{s + 1})

Apply the Quotient Rule:

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

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

\frac{d}{d s} (s - 1) = \frac{1}{2 s}

\frac{d}{d s} (s + 1) = \frac{1}{2 s}

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

Simplify

\frac{\frac{1}{2 s} ( s + 1 ) - \frac{1}{2 s} ( s - 1 )}{( s + 1 ) ^{2}} : \frac{1}{s ( s + 1 ) ^{2}}

= \frac{1}{s ( s + 1 ) ^{2}}

\frac{\partial}{\partial x} (e^{y} e^{x})

\frac{\partial}{\partial x} (y e^{- 2 x})

- 2 t

\frac{\partial}{\partial x} (ln (\frac{x + y}{x - y}))

\int_{0}^{1} v^{2} cos (v^{3}) d v

What is the derivative of (sqrt(s)-1)/(sqrt(s)+1) ?
The derivative of (sqrt(s)-1)/(sqrt(s)+1) is 1/(sqrt(s)(\sqrt{s)+1)^2}
What is the first derivative of (sqrt(s)-1)/(sqrt(s)+1) ?
The first derivative of (sqrt(s)-1)/(sqrt(s)+1) is 1/(sqrt(s)(\sqrt{s)+1)^2}