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

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

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

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

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derivative of

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

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

Solution steps

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

Simplify

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

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

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

\frac{\partial}{\partial x} (6 x^{2} y + 6 x y^{3})

x \to - 5 lim (g (x))

\frac{d}{d x} (\frac{x}{x ^{2} + y ^{2} + z ^{2}})

\frac{s + 1}{( s ^{2} - 2 s + 5 )}

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