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

The derivative of-2/((1-x)^3) is -6/((1-x)^4)

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

The first derivative of-2/((1-x)^3) is -6/((1-x)^4)

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derivative of

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

- \frac{6}{( 1 - x ) ^{4}}

Solution steps

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

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the chain rule:

- \frac{3}{( 1 - x ) ^{4}} \frac{d}{d x} (1 - x)

= - \frac{3}{( 1 - x ) ^{4}} \frac{d}{d x} (1 - x)

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

= - 2 (- \frac{3}{( 1 - x ) ^{4}} (- 1))

Simplify

- 2 (- \frac{3}{( 1 - x ) ^{4}} (- 1)) : - \frac{6}{( 1 - x ) ^{4}}

= - \frac{6}{( 1 - x ) ^{4}}

\int \frac{x ^{3}}{( x ^{2} + 5 ) ^{2}} d x

\int cos^{3} (\frac{x}{15}) d x

\int \frac{10}{( x - 1 ) ( x ^{2} + 9 )} d x

cos (π) (x), 0

\frac{d}{d x} (120 x^{3} - 240 x^{2} + 120 x)

What is the derivative of-2/((1-x)^3) ?
The derivative of-2/((1-x)^3) is -6/((1-x)^4)
What is the first derivative of-2/((1-x)^3) ?
The first derivative of-2/((1-x)^3) is -6/((1-x)^4)