What is the derivative of (-12)/((1-x)^4) ?

The derivative of (-12)/((1-x)^4) is -(48)/((1-x)^5)

What is the first derivative of (-12)/((1-x)^4) ?

The first derivative of (-12)/((1-x)^4) is -(48)/((1-x)^5)

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derivative of

\frac{- 12}{( 1 - x ) ^{4}}

- \frac{48}{( 1 - x ) ^{5}}

Solution steps

\frac{d}{d x} (\frac{- 12}{( 1 - x ) ^{4}})

Simplify

\frac{- 12}{( 1 - x ) ^{4}} : - \frac{12}{( 1 - x ) ^{4}}

= \frac{d}{d x} (- \frac{12}{( 1 - x ) ^{4}})

Take the constant out:

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

= - 12 \frac{d}{d x} (\frac{1}{( 1 - x ) ^{4}})

Apply exponent rule:

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

= - 12 \frac{d}{d x} ((1 - x)^{- 4})

Apply the chain rule:

- \frac{4}{( 1 - x ) ^{5}} \frac{d}{d x} (1 - x)

= - \frac{4}{( 1 - x ) ^{5}} \frac{d}{d x} (1 - x)

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

= - 12 (- \frac{4}{( 1 - x ) ^{5}} (- 1))

Simplify

- 12 (- \frac{4}{( 1 - x ) ^{5}} (- 1)) : - \frac{48}{( 1 - x ) ^{5}}

= - \frac{48}{( 1 - x ) ^{5}}

\int sinh (8 x) d x

\frac{d}{d x} (x x^{2} + 36)

\frac{d}{d x} (\frac{( x - x )}{x ^{\frac{1}{5}}})

100 - \frac{200}{t ^{2} + 4}

- \frac{5}{x ^{5}}

What is the derivative of (-12)/((1-x)^4) ?
The derivative of (-12)/((1-x)^4) is -(48)/((1-x)^5)
What is the first derivative of (-12)/((1-x)^4) ?
The first derivative of (-12)/((1-x)^4) is -(48)/((1-x)^5)