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

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

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

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

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derivative of

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

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

Solution steps

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

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

\frac{2}{x}, 1

\frac{d y}{d x} = 4 x (x - 1)

\int_{0}^{1} (x 1 - x^{2}) d x

f (x) = e^{2 x - 5} + 4

y^{^{'}} = \frac{y ^{2} + 3 x x ^{2} + y ^{2}}{x y}

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