What is the derivative of (-1)/((s-1)^2) ?

The derivative of (-1)/((s-1)^2) is 2/((s-1)^3)

What is the first derivative of (-1)/((s-1)^2) ?

The first derivative of (-1)/((s-1)^2) is 2/((s-1)^3)

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derivative of

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

\frac{2}{( s - 1 ) ^{3}}

Solution steps

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

Simplify

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

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

Take the constant out:

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

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

Apply exponent rule:

\frac{1}{a} = a^{- 1}

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

Apply the chain rule:

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

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

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

= - (- \frac{2}{( s - 1 ) ^{3}} \cdot 1)

Simplify

= \frac{2}{( s - 1 ) ^{3}}

y = x^{3} + 4 x^{2} + 5 x + 7

cos^{2} (x) + sin (x)

x + 11

2^{y} + 1

\frac{3}{x ^{4}}

What is the derivative of (-1)/((s-1)^2) ?
The derivative of (-1)/((s-1)^2) is 2/((s-1)^3)
What is the first derivative of (-1)/((s-1)^2) ?
The first derivative of (-1)/((s-1)^2) is 2/((s-1)^3)